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Finding the Fourth Proportional to 729.40, 1,093.70 and 498.55

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Solution

The fourth proportional to 729.40, 1,093.70 and 498.55 is: 747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.40 : 1,093.70 = 498.55 : x
  2. Step 2: Convert to fraction form
    729.40/1,093.70 = 498.55/x
  3. Step 3: Cross multiply
    729.40x = 1,093.70 × 498.55
  4. Step 4: Simplify right side
    729.40x = 545,256.17
  5. Step 5: Solve for x
    x = 545,256.17/729.40
  6. Step 6: Final answer
    x = 747.55

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