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Finding the Fourth Proportional to 984.23, 1,358.22 and 542.13

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Solution

The fourth proportional to 984.23, 1,358.22 and 542.13 is: 748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.23 : 1,358.22 = 542.13 : x
  2. Step 2: Convert to fraction form
    984.23/1,358.22 = 542.13/x
  3. Step 3: Cross multiply
    984.23x = 1,358.22 × 542.13
  4. Step 4: Simplify right side
    984.23x = 736,333.16
  5. Step 5: Solve for x
    x = 736,333.16/984.23
  6. Step 6: Final answer
    x = 748.13

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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.