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Finding the Fourth Proportional to 754.41, 1,131.87 and 292.19

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Solution

The fourth proportional to 754.41, 1,131.87 and 292.19 is: 438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.41 : 1,131.87 = 292.19 : x
  2. Step 2: Convert to fraction form
    754.41/1,131.87 = 292.19/x
  3. Step 3: Cross multiply
    754.41x = 1,131.87 × 292.19
  4. Step 4: Simplify right side
    754.41x = 330,724.61
  5. Step 5: Solve for x
    x = 330,724.61/754.41
  6. Step 6: Final answer
    x = 438.39

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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.