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Finding the Fourth Proportional to 1,141.72, 1,574.34 and 932.74

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Solution

The fourth proportional to 1,141.72, 1,574.34 and 932.74 is: 1,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.72 : 1,574.34 = 932.74 : x
  2. Step 2: Convert to fraction form
    1,141.72/1,574.34 = 932.74/x
  3. Step 3: Cross multiply
    1,141.72x = 1,574.34 × 932.74
  4. Step 4: Simplify right side
    1,141.72x = 1,468,449.89
  5. Step 5: Solve for x
    x = 1,468,449.89/1,141.72
  6. Step 6: Final answer
    x = 1,286.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.