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Finding the Fourth Proportional to 915.39, 1,379.56 and 827.73

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Solution

The fourth proportional to 915.39, 1,379.56 and 827.73 is: 1,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.39 : 1,379.56 = 827.73 : x
  2. Step 2: Convert to fraction form
    915.39/1,379.56 = 827.73/x
  3. Step 3: Cross multiply
    915.39x = 1,379.56 × 827.73
  4. Step 4: Simplify right side
    915.39x = 1,141,903.20
  5. Step 5: Solve for x
    x = 1,141,903.20/915.39
  6. Step 6: Final answer
    x = 1,247.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.