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Finding the Fourth Proportional to 915.75, 1,264.32 and 748.10

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Solution

The fourth proportional to 915.75, 1,264.32 and 748.10 is: 1,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.75 : 1,264.32 = 748.10 : x
  2. Step 2: Convert to fraction form
    915.75/1,264.32 = 748.10/x
  3. Step 3: Cross multiply
    915.75x = 1,264.32 × 748.10
  4. Step 4: Simplify right side
    915.75x = 945,846.82
  5. Step 5: Solve for x
    x = 945,846.82/915.75
  6. Step 6: Final answer
    x = 1,032.87

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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.