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Finding the Fourth Proportional to 1,301.74, 1,952.10 and 424.03

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Solution

The fourth proportional to 1,301.74, 1,952.10 and 424.03 is: 635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.74 : 1,952.10 = 424.03 : x
  2. Step 2: Convert to fraction form
    1,301.74/1,952.10 = 424.03/x
  3. Step 3: Cross multiply
    1,301.74x = 1,952.10 × 424.03
  4. Step 4: Simplify right side
    1,301.74x = 827,743.02
  5. Step 5: Solve for x
    x = 827,743.02/1,301.74
  6. Step 6: Final answer
    x = 635.87

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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.