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Finding the Fourth Proportional to 729.14, 1,093.07 and 498.47

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Solution

The fourth proportional to 729.14, 1,093.07 and 498.47 is: 747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.14 : 1,093.07 = 498.47 : x
  2. Step 2: Convert to fraction form
    729.14/1,093.07 = 498.47/x
  3. Step 3: Cross multiply
    729.14x = 1,093.07 × 498.47
  4. Step 4: Simplify right side
    729.14x = 544,860.11
  5. Step 5: Solve for x
    x = 544,860.11/729.14
  6. Step 6: Final answer
    x = 747.26

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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.