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Finding the Fourth Proportional to 984.16, 1,358.12 and 542.08

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Solution

The fourth proportional to 984.16, 1,358.12 and 542.08 is: 748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.16 : 1,358.12 = 542.08 : x
  2. Step 2: Convert to fraction form
    984.16/1,358.12 = 542.08/x
  3. Step 3: Cross multiply
    984.16x = 1,358.12 × 542.08
  4. Step 4: Simplify right side
    984.16x = 736,209.69
  5. Step 5: Solve for x
    x = 736,209.69/984.16
  6. Step 6: Final answer
    x = 748.06

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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.