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Finding the Fourth Proportional to 1,252.89, 1,876.80 and 626.31

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Solution

The fourth proportional to 1,252.89, 1,876.80 and 626.31 is: 938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.89 : 1,876.80 = 626.31 : x
  2. Step 2: Convert to fraction form
    1,252.89/1,876.80 = 626.31/x
  3. Step 3: Cross multiply
    1,252.89x = 1,876.80 × 626.31
  4. Step 4: Simplify right side
    1,252.89x = 1,175,458.61
  5. Step 5: Solve for x
    x = 1,175,458.61/1,252.89
  6. Step 6: Final answer
    x = 938.20

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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.