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Finding the Fourth Proportional to 984.31, 1,358.37 and 542.24

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Solution

The fourth proportional to 984.31, 1,358.37 and 542.24 is: 748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.31 : 1,358.37 = 542.24 : x
  2. Step 2: Convert to fraction form
    984.31/1,358.37 = 542.24/x
  3. Step 3: Cross multiply
    984.31x = 1,358.37 × 542.24
  4. Step 4: Simplify right side
    984.31x = 736,562.55
  5. Step 5: Solve for x
    x = 736,562.55/984.31
  6. Step 6: Final answer
    x = 748.30

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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.