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Finding the Fourth Proportional to 1,012.24, 1,517.72 and 463.92

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Solution

The fourth proportional to 1,012.24, 1,517.72 and 463.92 is: 695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.24 : 1,517.72 = 463.92 : x
  2. Step 2: Convert to fraction form
    1,012.24/1,517.72 = 463.92/x
  3. Step 3: Cross multiply
    1,012.24x = 1,517.72 × 463.92
  4. Step 4: Simplify right side
    1,012.24x = 704,100.66
  5. Step 5: Solve for x
    x = 704,100.66/1,012.24
  6. Step 6: Final answer
    x = 695.59

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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.