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Finding the Fourth Proportional to 1,057.51, 1,586.27 and 573.63

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Solution

The fourth proportional to 1,057.51, 1,586.27 and 573.63 is: 860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.51 : 1,586.27 = 573.63 : x
  2. Step 2: Convert to fraction form
    1,057.51/1,586.27 = 573.63/x
  3. Step 3: Cross multiply
    1,057.51x = 1,586.27 × 573.63
  4. Step 4: Simplify right side
    1,057.51x = 909,932.06
  5. Step 5: Solve for x
    x = 909,932.06/1,057.51
  6. Step 6: Final answer
    x = 860.45

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.