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Finding the Fourth Proportional to 1,462.56, 2,194.97 and 538.68

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Solution

The fourth proportional to 1,462.56, 2,194.97 and 538.68 is: 808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.56 : 2,194.97 = 538.68 : x
  2. Step 2: Convert to fraction form
    1,462.56/2,194.97 = 538.68/x
  3. Step 3: Cross multiply
    1,462.56x = 2,194.97 × 538.68
  4. Step 4: Simplify right side
    1,462.56x = 1,182,391.98
  5. Step 5: Solve for x
    x = 1,182,391.98/1,462.56
  6. Step 6: Final answer
    x = 808.44

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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.