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Finding the Fourth Proportional to 1,301.58, 1,952.47 and 423.73

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Solution

The fourth proportional to 1,301.58, 1,952.47 and 423.73 is: 635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.58 : 1,952.47 = 423.73 : x
  2. Step 2: Convert to fraction form
    1,301.58/1,952.47 = 423.73/x
  3. Step 3: Cross multiply
    1,301.58x = 1,952.47 × 423.73
  4. Step 4: Simplify right side
    1,301.58x = 827,323.08
  5. Step 5: Solve for x
    x = 827,323.08/1,301.58
  6. Step 6: Final answer
    x = 635.63

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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.