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Finding the Fourth Proportional to 1,234.48, 1,849.20 and 800.32

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Solution

The fourth proportional to 1,234.48, 1,849.20 and 800.32 is: 1,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.48 : 1,849.20 = 800.32 : x
  2. Step 2: Convert to fraction form
    1,234.48/1,849.20 = 800.32/x
  3. Step 3: Cross multiply
    1,234.48x = 1,849.20 × 800.32
  4. Step 4: Simplify right side
    1,234.48x = 1,479,951.74
  5. Step 5: Solve for x
    x = 1,479,951.74/1,234.48
  6. Step 6: Final answer
    x = 1,198.85

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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.