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Finding the Fourth Proportional to 1,233.61, 1,702.56 and 814.59

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Solution

The fourth proportional to 1,233.61, 1,702.56 and 814.59 is: 1,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.61 : 1,702.56 = 814.59 : x
  2. Step 2: Convert to fraction form
    1,233.61/1,702.56 = 814.59/x
  3. Step 3: Cross multiply
    1,233.61x = 1,702.56 × 814.59
  4. Step 4: Simplify right side
    1,233.61x = 1,386,888.35
  5. Step 5: Solve for x
    x = 1,386,888.35/1,233.61
  6. Step 6: Final answer
    x = 1,124.25

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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.