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Finding the Fourth Proportional to 1,250.76, 1,876.12 and 338.76

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Solution

The fourth proportional to 1,250.76, 1,876.12 and 338.76 is: 508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.76 : 1,876.12 = 338.76 : x
  2. Step 2: Convert to fraction form
    1,250.76/1,876.12 = 338.76/x
  3. Step 3: Cross multiply
    1,250.76x = 1,876.12 × 338.76
  4. Step 4: Simplify right side
    1,250.76x = 635,554.41
  5. Step 5: Solve for x
    x = 635,554.41/1,250.76
  6. Step 6: Final answer
    x = 508.13

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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.