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Finding the Fourth Proportional to 787.57, 1,089.17 and 704.55

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Solution

The fourth proportional to 787.57, 1,089.17 and 704.55 is: 974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.57 : 1,089.17 = 704.55 : x
  2. Step 2: Convert to fraction form
    787.57/1,089.17 = 704.55/x
  3. Step 3: Cross multiply
    787.57x = 1,089.17 × 704.55
  4. Step 4: Simplify right side
    787.57x = 767,374.72
  5. Step 5: Solve for x
    x = 767,374.72/787.57
  6. Step 6: Final answer
    x = 974.36

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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.