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Finding the Fourth Proportional to 961.63, 1,327.08 and 542.00

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Solution

The fourth proportional to 961.63, 1,327.08 and 542.00 is: 747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.63 : 1,327.08 = 542.00 : x
  2. Step 2: Convert to fraction form
    961.63/1,327.08 = 542.00/x
  3. Step 3: Cross multiply
    961.63x = 1,327.08 × 542.00
  4. Step 4: Simplify right side
    961.63x = 719,272.76
  5. Step 5: Solve for x
    x = 719,272.76/961.63
  6. Step 6: Final answer
    x = 747.98

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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.