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Finding the Fourth Proportional to 787.66, 1,179.66 and 760.32

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Solution

The fourth proportional to 787.66, 1,179.66 and 760.32 is: 1,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.66 : 1,179.66 = 760.32 : x
  2. Step 2: Convert to fraction form
    787.66/1,179.66 = 760.32/x
  3. Step 3: Cross multiply
    787.66x = 1,179.66 × 760.32
  4. Step 4: Simplify right side
    787.66x = 896,919.09
  5. Step 5: Solve for x
    x = 896,919.09/787.66
  6. Step 6: Final answer
    x = 1,138.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.