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Finding the Fourth Proportional to 787.55, 1,086.72 and 472.83

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Solution

The fourth proportional to 787.55, 1,086.72 and 472.83 is: 652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.55 : 1,086.72 = 472.83 : x
  2. Step 2: Convert to fraction form
    787.55/1,086.72 = 472.83/x
  3. Step 3: Cross multiply
    787.55x = 1,086.72 × 472.83
  4. Step 4: Simplify right side
    787.55x = 513,827.97
  5. Step 5: Solve for x
    x = 513,827.97/787.55
  6. Step 6: Final answer
    x = 652.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.