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Finding the Fourth Proportional to 1,233.33, 1,702.41 and 814.83

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Solution

The fourth proportional to 1,233.33, 1,702.41 and 814.83 is: 1,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.33 : 1,702.41 = 814.83 : x
  2. Step 2: Convert to fraction form
    1,233.33/1,702.41 = 814.83/x
  3. Step 3: Cross multiply
    1,233.33x = 1,702.41 × 814.83
  4. Step 4: Simplify right side
    1,233.33x = 1,387,174.74
  5. Step 5: Solve for x
    x = 1,387,174.74/1,233.33
  6. Step 6: Final answer
    x = 1,124.74

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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.