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Finding the Fourth Proportional to 1,301.58, 1,952.14 and 424.10

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Solution

The fourth proportional to 1,301.58, 1,952.14 and 424.10 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.58 : 1,952.14 = 424.10 : x
  2. Step 2: Convert to fraction form
    1,301.58/1,952.14 = 424.10/x
  3. Step 3: Cross multiply
    1,301.58x = 1,952.14 × 424.10
  4. Step 4: Simplify right side
    1,301.58x = 827,902.57
  5. Step 5: Solve for x
    x = 827,902.57/1,301.58
  6. Step 6: Final answer
    x = 636.08

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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.