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Finding the Fourth Proportional to 1,301.01, 1,952.21 and 754.26

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Solution

The fourth proportional to 1,301.01, 1,952.21 and 754.26 is: 1,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.01 : 1,952.21 = 754.26 : x
  2. Step 2: Convert to fraction form
    1,301.01/1,952.21 = 754.26/x
  3. Step 3: Cross multiply
    1,301.01x = 1,952.21 × 754.26
  4. Step 4: Simplify right side
    1,301.01x = 1,472,473.91
  5. Step 5: Solve for x
    x = 1,472,473.91/1,301.01
  6. Step 6: Final answer
    x = 1,131.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.