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Finding the Fourth Proportional to 1,192.31, 1,787.74 and 534.07

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Solution

The fourth proportional to 1,192.31, 1,787.74 and 534.07 is: 800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.31 : 1,787.74 = 534.07 : x
  2. Step 2: Convert to fraction form
    1,192.31/1,787.74 = 534.07/x
  3. Step 3: Cross multiply
    1,192.31x = 1,787.74 × 534.07
  4. Step 4: Simplify right side
    1,192.31x = 954,778.30
  5. Step 5: Solve for x
    x = 954,778.30/1,192.31
  6. Step 6: Final answer
    x = 800.78

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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.