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Finding the Fourth Proportional to 984.11, 1,358.07 and 542.00

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Solution

The fourth proportional to 984.11, 1,358.07 and 542.00 is: 747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.11 : 1,358.07 = 542.00 : x
  2. Step 2: Convert to fraction form
    984.11/1,358.07 = 542.00/x
  3. Step 3: Cross multiply
    984.11x = 1,358.07 × 542.00
  4. Step 4: Simplify right side
    984.11x = 736,077.21
  5. Step 5: Solve for x
    x = 736,077.21/984.11
  6. Step 6: Final answer
    x = 747.96

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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.