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Finding the Fourth Proportional to 787.25, 1,180.92 and 239.47

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Solution

The fourth proportional to 787.25, 1,180.92 and 239.47 is: 359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.25 : 1,180.92 = 239.47 : x
  2. Step 2: Convert to fraction form
    787.25/1,180.92 = 239.47/x
  3. Step 3: Cross multiply
    787.25x = 1,180.92 × 239.47
  4. Step 4: Simplify right side
    787.25x = 282,798.76
  5. Step 5: Solve for x
    x = 282,798.76/787.25
  6. Step 6: Final answer
    x = 359.22

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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.