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Finding the Fourth Proportional to 752.68, 1,039.20 and 473.02

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Solution

The fourth proportional to 752.68, 1,039.20 and 473.02 is: 653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.68 : 1,039.20 = 473.02 : x
  2. Step 2: Convert to fraction form
    752.68/1,039.20 = 473.02/x
  3. Step 3: Cross multiply
    752.68x = 1,039.20 × 473.02
  4. Step 4: Simplify right side
    752.68x = 491,562.38
  5. Step 5: Solve for x
    x = 491,562.38/752.68
  6. Step 6: Final answer
    x = 653.08

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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.