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Finding the Fourth Proportional to 787.02, 1,180.53 and 239.22

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Solution

The fourth proportional to 787.02, 1,180.53 and 239.22 is: 358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.02 : 1,180.53 = 239.22 : x
  2. Step 2: Convert to fraction form
    787.02/1,180.53 = 239.22/x
  3. Step 3: Cross multiply
    787.02x = 1,180.53 × 239.22
  4. Step 4: Simplify right side
    787.02x = 282,406.39
  5. Step 5: Solve for x
    x = 282,406.39/787.02
  6. Step 6: Final answer
    x = 358.83

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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.