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Finding the Fourth Proportional to 1,156.27, 1,732.15 and 1,097.23

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Solution

The fourth proportional to 1,156.27, 1,732.15 and 1,097.23 is: 1,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.27 : 1,732.15 = 1,097.23 : x
  2. Step 2: Convert to fraction form
    1,156.27/1,732.15 = 1,097.23/x
  3. Step 3: Cross multiply
    1,156.27x = 1,732.15 × 1,097.23
  4. Step 4: Simplify right side
    1,156.27x = 1,900,566.94
  5. Step 5: Solve for x
    x = 1,900,566.94/1,156.27
  6. Step 6: Final answer
    x = 1,643.71

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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.