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Finding the Fourth Proportional to 1,057.98, 1,586.70 and 711.12

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Solution

The fourth proportional to 1,057.98, 1,586.70 and 711.12 is: 1,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.98 : 1,586.70 = 711.12 : x
  2. Step 2: Convert to fraction form
    1,057.98/1,586.70 = 711.12/x
  3. Step 3: Cross multiply
    1,057.98x = 1,586.70 × 711.12
  4. Step 4: Simplify right side
    1,057.98x = 1,128,334.10
  5. Step 5: Solve for x
    x = 1,128,334.10/1,057.98
  6. Step 6: Final answer
    x = 1,066.50

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Half scale
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Double scale
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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.