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Finding the Fourth Proportional to 752.08, 1,129.52 and 615.42

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Solution

The fourth proportional to 752.08, 1,129.52 and 615.42 is: 924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.08 : 1,129.52 = 615.42 : x
  2. Step 2: Convert to fraction form
    752.08/1,129.52 = 615.42/x
  3. Step 3: Cross multiply
    752.08x = 1,129.52 × 615.42
  4. Step 4: Simplify right side
    752.08x = 695,129.20
  5. Step 5: Solve for x
    x = 695,129.20/752.08
  6. Step 6: Final answer
    x = 924.28

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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.