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Finding the Fourth Proportional to 787.44, 1,178.84 and 582.92

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Solution

The fourth proportional to 787.44, 1,178.84 and 582.92 is: 872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.44 : 1,178.84 = 582.92 : x
  2. Step 2: Convert to fraction form
    787.44/1,178.84 = 582.92/x
  3. Step 3: Cross multiply
    787.44x = 1,178.84 × 582.92
  4. Step 4: Simplify right side
    787.44x = 687,169.41
  5. Step 5: Solve for x
    x = 687,169.41/787.44
  6. Step 6: Final answer
    x = 872.66

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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.