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Finding the Fourth Proportional to 871.37, 1,306.80 and 254.89

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Solution

The fourth proportional to 871.37, 1,306.80 and 254.89 is: 382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.37 : 1,306.80 = 254.89 : x
  2. Step 2: Convert to fraction form
    871.37/1,306.80 = 254.89/x
  3. Step 3: Cross multiply
    871.37x = 1,306.80 × 254.89
  4. Step 4: Simplify right side
    871.37x = 333,084.53
  5. Step 5: Solve for x
    x = 333,084.53/871.37
  6. Step 6: Final answer
    x = 382.25

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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.