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Finding the Fourth Proportional to 984.49, 1,358.67 and 542.46

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Solution

The fourth proportional to 984.49, 1,358.67 and 542.46 is: 748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.49 : 1,358.67 = 542.46 : x
  2. Step 2: Convert to fraction form
    984.49/1,358.67 = 542.46/x
  3. Step 3: Cross multiply
    984.49x = 1,358.67 × 542.46
  4. Step 4: Simplify right side
    984.49x = 737,031.26
  5. Step 5: Solve for x
    x = 737,031.26/984.49
  6. Step 6: Final answer
    x = 748.64

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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.