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Finding the Fourth Proportional to 1,162.25, 1,745.87 and 729.71

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Solution

The fourth proportional to 1,162.25, 1,745.87 and 729.71 is: 1,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.25 : 1,745.87 = 729.71 : x
  2. Step 2: Convert to fraction form
    1,162.25/1,745.87 = 729.71/x
  3. Step 3: Cross multiply
    1,162.25x = 1,745.87 × 729.71
  4. Step 4: Simplify right side
    1,162.25x = 1,273,966.42
  5. Step 5: Solve for x
    x = 1,273,966.42/1,162.25
  6. Step 6: Final answer
    x = 1,096.13

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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.