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Finding the Fourth Proportional to 984.40, 1,358.45 and 542.29

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Solution

The fourth proportional to 984.40, 1,358.45 and 542.29 is: 748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.40 : 1,358.45 = 542.29 : x
  2. Step 2: Convert to fraction form
    984.40/1,358.45 = 542.29/x
  3. Step 3: Cross multiply
    984.40x = 1,358.45 × 542.29
  4. Step 4: Simplify right side
    984.40x = 736,673.85
  5. Step 5: Solve for x
    x = 736,673.85/984.40
  6. Step 6: Final answer
    x = 748.35

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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.