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Finding the Fourth Proportional to 1,162.78, 1,742.75 and 614.61

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Solution

The fourth proportional to 1,162.78, 1,742.75 and 614.61 is: 921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.78 : 1,742.75 = 614.61 : x
  2. Step 2: Convert to fraction form
    1,162.78/1,742.75 = 614.61/x
  3. Step 3: Cross multiply
    1,162.78x = 1,742.75 × 614.61
  4. Step 4: Simplify right side
    1,162.78x = 1,071,111.58
  5. Step 5: Solve for x
    x = 1,071,111.58/1,162.78
  6. Step 6: Final answer
    x = 921.16

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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.