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Finding the Fourth Proportional to 1,301.26, 1,952.06 and 423.48

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Solution

The fourth proportional to 1,301.26, 1,952.06 and 423.48 is: 635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.26 : 1,952.06 = 423.48 : x
  2. Step 2: Convert to fraction form
    1,301.26/1,952.06 = 423.48/x
  3. Step 3: Cross multiply
    1,301.26x = 1,952.06 × 423.48
  4. Step 4: Simplify right side
    1,301.26x = 826,658.37
  5. Step 5: Solve for x
    x = 826,658.37/1,301.26
  6. Step 6: Final answer
    x = 635.28

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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.