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Finding the Fourth Proportional to 752.42, 1,038.14 and 516.44

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Solution

The fourth proportional to 752.42, 1,038.14 and 516.44 is: 712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.42 : 1,038.14 = 516.44 : x
  2. Step 2: Convert to fraction form
    752.42/1,038.14 = 516.44/x
  3. Step 3: Cross multiply
    752.42x = 1,038.14 × 516.44
  4. Step 4: Simplify right side
    752.42x = 536,135.08
  5. Step 5: Solve for x
    x = 536,135.08/752.42
  6. Step 6: Final answer
    x = 712.55

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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.