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Finding the Fourth Proportional to 787.55, 1,086.84 and 472.86

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Solution

The fourth proportional to 787.55, 1,086.84 and 472.86 is: 652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.55 : 1,086.84 = 472.86 : x
  2. Step 2: Convert to fraction form
    787.55/1,086.84 = 472.86/x
  3. Step 3: Cross multiply
    787.55x = 1,086.84 × 472.86
  4. Step 4: Simplify right side
    787.55x = 513,923.16
  5. Step 5: Solve for x
    x = 513,923.16/787.55
  6. Step 6: Final answer
    x = 652.56

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