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Finding the Fourth Proportional to 935.22, 1,289.97 and 542.10

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Solution

The fourth proportional to 935.22, 1,289.97 and 542.10 is: 747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.22 : 1,289.97 = 542.10 : x
  2. Step 2: Convert to fraction form
    935.22/1,289.97 = 542.10/x
  3. Step 3: Cross multiply
    935.22x = 1,289.97 × 542.10
  4. Step 4: Simplify right side
    935.22x = 699,292.74
  5. Step 5: Solve for x
    x = 699,292.74/935.22
  6. Step 6: Final answer
    x = 747.73

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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.