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Finding the Fourth Proportional to 787.26, 1,178.79 and 650.91

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Solution

The fourth proportional to 787.26, 1,178.79 and 650.91 is: 974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.26 : 1,178.79 = 650.91 : x
  2. Step 2: Convert to fraction form
    787.26/1,178.79 = 650.91/x
  3. Step 3: Cross multiply
    787.26x = 1,178.79 × 650.91
  4. Step 4: Simplify right side
    787.26x = 767,286.20
  5. Step 5: Solve for x
    x = 767,286.20/787.26
  6. Step 6: Final answer
    x = 974.63

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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.