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Finding the Fourth Proportional to 1,192.14, 1,787.61 and 461.34

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Solution

The fourth proportional to 1,192.14, 1,787.61 and 461.34 is: 691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.14 : 1,787.61 = 461.34 : x
  2. Step 2: Convert to fraction form
    1,192.14/1,787.61 = 461.34/x
  3. Step 3: Cross multiply
    1,192.14x = 1,787.61 × 461.34
  4. Step 4: Simplify right side
    1,192.14x = 824,696.00
  5. Step 5: Solve for x
    x = 824,696.00/1,192.14
  6. Step 6: Final answer
    x = 691.78

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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.