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Finding the Fourth Proportional to 787.43, 1,180.71 and 318.48

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Solution

The fourth proportional to 787.43, 1,180.71 and 318.48 is: 477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.43 : 1,180.71 = 318.48 : x
  2. Step 2: Convert to fraction form
    787.43/1,180.71 = 318.48/x
  3. Step 3: Cross multiply
    787.43x = 1,180.71 × 318.48
  4. Step 4: Simplify right side
    787.43x = 376,032.52
  5. Step 5: Solve for x
    x = 376,032.52/787.43
  6. Step 6: Final answer
    x = 477.55

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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.