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Finding the Fourth Proportional to 787.86, 1,086.67 and 538.92

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Solution

The fourth proportional to 787.86, 1,086.67 and 538.92 is: 743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.86 : 1,086.67 = 538.92 : x
  2. Step 2: Convert to fraction form
    787.86/1,086.67 = 538.92/x
  3. Step 3: Cross multiply
    787.86x = 1,086.67 × 538.92
  4. Step 4: Simplify right side
    787.86x = 585,620.07
  5. Step 5: Solve for x
    x = 585,620.07/787.86
  6. Step 6: Final answer
    x = 743.31

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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.