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Finding the Fourth Proportional to 736.98, 1,103.22 and 517.02

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Solution

The fourth proportional to 736.98, 1,103.22 and 517.02 is: 773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.98 : 1,103.22 = 517.02 : x
  2. Step 2: Convert to fraction form
    736.98/1,103.22 = 517.02/x
  3. Step 3: Cross multiply
    736.98x = 1,103.22 × 517.02
  4. Step 4: Simplify right side
    736.98x = 570,386.80
  5. Step 5: Solve for x
    x = 570,386.80/736.98
  6. Step 6: Final answer
    x = 773.95

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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.