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Finding the Fourth Proportional to 915.64, 1,263.61 and 517.27

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Solution

The fourth proportional to 915.64, 1,263.61 and 517.27 is: 713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.64 : 1,263.61 = 517.27 : x
  2. Step 2: Convert to fraction form
    915.64/1,263.61 = 517.27/x
  3. Step 3: Cross multiply
    915.64x = 1,263.61 × 517.27
  4. Step 4: Simplify right side
    915.64x = 653,626.25
  5. Step 5: Solve for x
    x = 653,626.25/915.64
  6. Step 6: Final answer
    x = 713.85

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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.