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Finding the Fourth Proportional to 915.87, 1,371.36 and 769.26

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Solution

The fourth proportional to 915.87, 1,371.36 and 769.26 is: 1,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.87 : 1,371.36 = 769.26 : x
  2. Step 2: Convert to fraction form
    915.87/1,371.36 = 769.26/x
  3. Step 3: Cross multiply
    915.87x = 1,371.36 × 769.26
  4. Step 4: Simplify right side
    915.87x = 1,054,932.39
  5. Step 5: Solve for x
    x = 1,054,932.39/915.87
  6. Step 6: Final answer
    x = 1,151.84

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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.