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Finding the Fourth Proportional to 1,334.53, 2,002.56 and 787.78

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Solution

The fourth proportional to 1,334.53, 2,002.56 and 787.78 is: 1,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.53 : 2,002.56 = 787.78 : x
  2. Step 2: Convert to fraction form
    1,334.53/2,002.56 = 787.78/x
  3. Step 3: Cross multiply
    1,334.53x = 2,002.56 × 787.78
  4. Step 4: Simplify right side
    1,334.53x = 1,577,576.72
  5. Step 5: Solve for x
    x = 1,577,576.72/1,334.53
  6. Step 6: Final answer
    x = 1,182.12

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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.