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Finding the Fourth Proportional to 1,191.92, 1,787.86 and 498.92

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Solution

The fourth proportional to 1,191.92, 1,787.86 and 498.92 is: 748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.92 : 1,787.86 = 498.92 : x
  2. Step 2: Convert to fraction form
    1,191.92/1,787.86 = 498.92/x
  3. Step 3: Cross multiply
    1,191.92x = 1,787.86 × 498.92
  4. Step 4: Simplify right side
    1,191.92x = 891,999.11
  5. Step 5: Solve for x
    x = 891,999.11/1,191.92
  6. Step 6: Final answer
    x = 748.37

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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.