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Finding the Fourth Proportional to 1,462.80, 2,193.42 and 538.12

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Solution

The fourth proportional to 1,462.80, 2,193.42 and 538.12 is: 806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.80 : 2,193.42 = 538.12 : x
  2. Step 2: Convert to fraction form
    1,462.80/2,193.42 = 538.12/x
  3. Step 3: Cross multiply
    1,462.80x = 2,193.42 × 538.12
  4. Step 4: Simplify right side
    1,462.80x = 1,180,323.17
  5. Step 5: Solve for x
    x = 1,180,323.17/1,462.80
  6. Step 6: Final answer
    x = 806.89

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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.