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Finding the Fourth Proportional to 1,301.26, 1,951.40 and 376.56

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Solution

The fourth proportional to 1,301.26, 1,951.40 and 376.56 is: 564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.26 : 1,951.40 = 376.56 : x
  2. Step 2: Convert to fraction form
    1,301.26/1,951.40 = 376.56/x
  3. Step 3: Cross multiply
    1,301.26x = 1,951.40 × 376.56
  4. Step 4: Simplify right side
    1,301.26x = 734,819.18
  5. Step 5: Solve for x
    x = 734,819.18/1,301.26
  6. Step 6: Final answer
    x = 564.70

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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.