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Finding the Fourth Proportional to 961.79, 1,326.95 and 542.09

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Solution

The fourth proportional to 961.79, 1,326.95 and 542.09 is: 747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.79 : 1,326.95 = 542.09 : x
  2. Step 2: Convert to fraction form
    961.79/1,326.95 = 542.09/x
  3. Step 3: Cross multiply
    961.79x = 1,326.95 × 542.09
  4. Step 4: Simplify right side
    961.79x = 719,316.98
  5. Step 5: Solve for x
    x = 719,316.98/961.79
  6. Step 6: Final answer
    x = 747.90

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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.