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Finding the Fourth Proportional to 787.88, 1,086.72 and 538.82

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Solution

The fourth proportional to 787.88, 1,086.72 and 538.82 is: 743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.88 : 1,086.72 = 538.82 : x
  2. Step 2: Convert to fraction form
    787.88/1,086.72 = 538.82/x
  3. Step 3: Cross multiply
    787.88x = 1,086.72 × 538.82
  4. Step 4: Simplify right side
    787.88x = 585,546.47
  5. Step 5: Solve for x
    x = 585,546.47/787.88
  6. Step 6: Final answer
    x = 743.19

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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.