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Finding the Fourth Proportional to 915.30, 1,372.14 and 826.74

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Solution

The fourth proportional to 915.30, 1,372.14 and 826.74 is: 1,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.30 : 1,372.14 = 826.74 : x
  2. Step 2: Convert to fraction form
    915.30/1,372.14 = 826.74/x
  3. Step 3: Cross multiply
    915.30x = 1,372.14 × 826.74
  4. Step 4: Simplify right side
    915.30x = 1,134,403.02
  5. Step 5: Solve for x
    x = 1,134,403.02/915.30
  6. Step 6: Final answer
    x = 1,239.38

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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.