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Finding the Fourth Proportional to 1,301.44, 1,951.67 and 423.71

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Solution

The fourth proportional to 1,301.44, 1,951.67 and 423.71 is: 635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.44 : 1,951.67 = 423.71 : x
  2. Step 2: Convert to fraction form
    1,301.44/1,951.67 = 423.71/x
  3. Step 3: Cross multiply
    1,301.44x = 1,951.67 × 423.71
  4. Step 4: Simplify right side
    1,301.44x = 826,951.69
  5. Step 5: Solve for x
    x = 826,951.69/1,301.44
  6. Step 6: Final answer
    x = 635.41

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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.