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Finding the Fourth Proportional to 915.97, 1,372.36 and 762.88

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Solution

The fourth proportional to 915.97, 1,372.36 and 762.88 is: 1,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.97 : 1,372.36 = 762.88 : x
  2. Step 2: Convert to fraction form
    915.97/1,372.36 = 762.88/x
  3. Step 3: Cross multiply
    915.97x = 1,372.36 × 762.88
  4. Step 4: Simplify right side
    915.97x = 1,046,946.00
  5. Step 5: Solve for x
    x = 1,046,946.00/915.97
  6. Step 6: Final answer
    x = 1,142.99

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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.