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Finding the Fourth Proportional to 915.61, 1,371.45 and 851.49

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Solution

The fourth proportional to 915.61, 1,371.45 and 851.49 is: 1,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.61 : 1,371.45 = 851.49 : x
  2. Step 2: Convert to fraction form
    915.61/1,371.45 = 851.49/x
  3. Step 3: Cross multiply
    915.61x = 1,371.45 × 851.49
  4. Step 4: Simplify right side
    915.61x = 1,167,775.96
  5. Step 5: Solve for x
    x = 1,167,775.96/915.61
  6. Step 6: Final answer
    x = 1,275.41

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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.