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Finding the Fourth Proportional to 1,234.11, 1,702.47 and 814.62

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Solution

The fourth proportional to 1,234.11, 1,702.47 and 814.62 is: 1,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.11 : 1,702.47 = 814.62 : x
  2. Step 2: Convert to fraction form
    1,234.11/1,702.47 = 814.62/x
  3. Step 3: Cross multiply
    1,234.11x = 1,702.47 × 814.62
  4. Step 4: Simplify right side
    1,234.11x = 1,386,866.11
  5. Step 5: Solve for x
    x = 1,386,866.11/1,234.11
  6. Step 6: Final answer
    x = 1,123.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.