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Finding the Fourth Proportional to 787.12, 1,086.42 and 492.72

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Solution

The fourth proportional to 787.12, 1,086.42 and 492.72 is: 680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.12 : 1,086.42 = 492.72 : x
  2. Step 2: Convert to fraction form
    787.12/1,086.42 = 492.72/x
  3. Step 3: Cross multiply
    787.12x = 1,086.42 × 492.72
  4. Step 4: Simplify right side
    787.12x = 535,300.86
  5. Step 5: Solve for x
    x = 535,300.86/787.12
  6. Step 6: Final answer
    x = 680.08

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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.