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Finding the Fourth Proportional to 984.88, 1,359.10 and 542.75

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Solution

The fourth proportional to 984.88, 1,359.10 and 542.75 is: 748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.88 : 1,359.10 = 542.75 : x
  2. Step 2: Convert to fraction form
    984.88/1,359.10 = 542.75/x
  3. Step 3: Cross multiply
    984.88x = 1,359.10 × 542.75
  4. Step 4: Simplify right side
    984.88x = 737,648.81
  5. Step 5: Solve for x
    x = 737,648.81/984.88
  6. Step 6: Final answer
    x = 748.98

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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.