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Finding the Fourth Proportional to 984.50, 1,358.61 and 542.40

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Solution

The fourth proportional to 984.50, 1,358.61 and 542.40 is: 748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.50 : 1,358.61 = 542.40 : x
  2. Step 2: Convert to fraction form
    984.50/1,358.61 = 542.40/x
  3. Step 3: Cross multiply
    984.50x = 1,358.61 × 542.40
  4. Step 4: Simplify right side
    984.50x = 736,911.76
  5. Step 5: Solve for x
    x = 736,911.76/984.50
  6. Step 6: Final answer
    x = 748.51

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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.