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Finding the Fourth Proportional to 1,462.13, 2,193.17 and 537.32

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Solution

The fourth proportional to 1,462.13, 2,193.17 and 537.32 is: 805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.13 : 2,193.17 = 537.32 : x
  2. Step 2: Convert to fraction form
    1,462.13/2,193.17 = 537.32/x
  3. Step 3: Cross multiply
    1,462.13x = 2,193.17 × 537.32
  4. Step 4: Simplify right side
    1,462.13x = 1,178,436.90
  5. Step 5: Solve for x
    x = 1,178,436.90/1,462.13
  6. Step 6: Final answer
    x = 805.97

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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.