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Finding the Fourth Proportional to 1,252.17, 1,876.32 and 634.95

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Solution

The fourth proportional to 1,252.17, 1,876.32 and 634.95 is: 951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.17 : 1,876.32 = 634.95 : x
  2. Step 2: Convert to fraction form
    1,252.17/1,876.32 = 634.95/x
  3. Step 3: Cross multiply
    1,252.17x = 1,876.32 × 634.95
  4. Step 4: Simplify right side
    1,252.17x = 1,191,369.38
  5. Step 5: Solve for x
    x = 1,191,369.38/1,252.17
  6. Step 6: Final answer
    x = 951.44

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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.