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Finding the Fourth Proportional to 1,234.17, 1,702.35 and 814.32

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Solution

The fourth proportional to 1,234.17, 1,702.35 and 814.32 is: 1,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.17 : 1,702.35 = 814.32 : x
  2. Step 2: Convert to fraction form
    1,234.17/1,702.35 = 814.32/x
  3. Step 3: Cross multiply
    1,234.17x = 1,702.35 × 814.32
  4. Step 4: Simplify right side
    1,234.17x = 1,386,257.65
  5. Step 5: Solve for x
    x = 1,386,257.65/1,234.17
  6. Step 6: Final answer
    x = 1,123.23

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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.