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Finding the Fourth Proportional to 1,244.73, 1,863.02 and 915.58

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Solution

The fourth proportional to 1,244.73, 1,863.02 and 915.58 is: 1,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.73 : 1,863.02 = 915.58 : x
  2. Step 2: Convert to fraction form
    1,244.73/1,863.02 = 915.58/x
  3. Step 3: Cross multiply
    1,244.73x = 1,863.02 × 915.58
  4. Step 4: Simplify right side
    1,244.73x = 1,705,743.85
  5. Step 5: Solve for x
    x = 1,705,743.85/1,244.73
  6. Step 6: Final answer
    x = 1,370.37

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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.