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Finding the Fourth Proportional to 1,057.77, 1,586.97 and 327.45

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Solution

The fourth proportional to 1,057.77, 1,586.97 and 327.45 is: 491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.77 : 1,586.97 = 327.45 : x
  2. Step 2: Convert to fraction form
    1,057.77/1,586.97 = 327.45/x
  3. Step 3: Cross multiply
    1,057.77x = 1,586.97 × 327.45
  4. Step 4: Simplify right side
    1,057.77x = 519,653.33
  5. Step 5: Solve for x
    x = 519,653.33/1,057.77
  6. Step 6: Final answer
    x = 491.27

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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.