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Finding the Fourth Proportional to 1,225.17, 1,833.15 and 729.76

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Solution

The fourth proportional to 1,225.17, 1,833.15 and 729.76 is: 1,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.17 : 1,833.15 = 729.76 : x
  2. Step 2: Convert to fraction form
    1,225.17/1,833.15 = 729.76/x
  3. Step 3: Cross multiply
    1,225.17x = 1,833.15 × 729.76
  4. Step 4: Simplify right side
    1,225.17x = 1,337,759.54
  5. Step 5: Solve for x
    x = 1,337,759.54/1,225.17
  6. Step 6: Final answer
    x = 1,091.90

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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.