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Finding the Fourth Proportional to 1,279.41, 1,915.37 and 972.49

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Solution

The fourth proportional to 1,279.41, 1,915.37 and 972.49 is: 1,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.41 : 1,915.37 = 972.49 : x
  2. Step 2: Convert to fraction form
    1,279.41/1,915.37 = 972.49/x
  3. Step 3: Cross multiply
    1,279.41x = 1,915.37 × 972.49
  4. Step 4: Simplify right side
    1,279.41x = 1,862,663.73
  5. Step 5: Solve for x
    x = 1,862,663.73/1,279.41
  6. Step 6: Final answer
    x = 1,455.88

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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.