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Finding the Fourth Proportional to 729.35, 1,093.82 and 498.20

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Solution

The fourth proportional to 729.35, 1,093.82 and 498.20 is: 747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.35 : 1,093.82 = 498.20 : x
  2. Step 2: Convert to fraction form
    729.35/1,093.82 = 498.20/x
  3. Step 3: Cross multiply
    729.35x = 1,093.82 × 498.20
  4. Step 4: Simplify right side
    729.35x = 544,936.90
  5. Step 5: Solve for x
    x = 544,936.90/729.35
  6. Step 6: Final answer
    x = 747.16

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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.