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Finding the Fourth Proportional to 915.23, 1,371.24 and 762.14

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Solution

The fourth proportional to 915.23, 1,371.24 and 762.14 is: 1,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.23 : 1,371.24 = 762.14 : x
  2. Step 2: Convert to fraction form
    915.23/1,371.24 = 762.14/x
  3. Step 3: Cross multiply
    915.23x = 1,371.24 × 762.14
  4. Step 4: Simplify right side
    915.23x = 1,045,076.85
  5. Step 5: Solve for x
    x = 1,045,076.85/915.23
  6. Step 6: Final answer
    x = 1,141.87

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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.