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Finding the Fourth Proportional to 1,251.03, 1,876.05 and 635.07

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Solution

The fourth proportional to 1,251.03, 1,876.05 and 635.07 is: 952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.03 : 1,876.05 = 635.07 : x
  2. Step 2: Convert to fraction form
    1,251.03/1,876.05 = 635.07/x
  3. Step 3: Cross multiply
    1,251.03x = 1,876.05 × 635.07
  4. Step 4: Simplify right side
    1,251.03x = 1,191,423.07
  5. Step 5: Solve for x
    x = 1,191,423.07/1,251.03
  6. Step 6: Final answer
    x = 952.35

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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.