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Finding the Fourth Proportional to 729.50, 1,092.96 and 420.86

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Solution

The fourth proportional to 729.50, 1,092.96 and 420.86 is: 630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.50 : 1,092.96 = 420.86 : x
  2. Step 2: Convert to fraction form
    729.50/1,092.96 = 420.86/x
  3. Step 3: Cross multiply
    729.50x = 1,092.96 × 420.86
  4. Step 4: Simplify right side
    729.50x = 459,983.15
  5. Step 5: Solve for x
    x = 459,983.15/729.50
  6. Step 6: Final answer
    x = 630.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.