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Finding the Fourth Proportional to 752.56, 1,039.08 and 566.48

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Solution

The fourth proportional to 752.56, 1,039.08 and 566.48 is: 782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.56 : 1,039.08 = 566.48 : x
  2. Step 2: Convert to fraction form
    752.56/1,039.08 = 566.48/x
  3. Step 3: Cross multiply
    752.56x = 1,039.08 × 566.48
  4. Step 4: Simplify right side
    752.56x = 588,618.04
  5. Step 5: Solve for x
    x = 588,618.04/752.56
  6. Step 6: Final answer
    x = 782.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.