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Finding the Fourth Proportional to 915.60, 1,366.67 and 847.87

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Solution

The fourth proportional to 915.60, 1,366.67 and 847.87 is: 1,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.60 : 1,366.67 = 847.87 : x
  2. Step 2: Convert to fraction form
    915.60/1,366.67 = 847.87/x
  3. Step 3: Cross multiply
    915.60x = 1,366.67 × 847.87
  4. Step 4: Simplify right side
    915.60x = 1,158,757.20
  5. Step 5: Solve for x
    x = 1,158,757.20/915.60
  6. Step 6: Final answer
    x = 1,265.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.