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Finding the Fourth Proportional to 1,012.32, 1,396.44 and 613.92

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Solution

The fourth proportional to 1,012.32, 1,396.44 and 613.92 is: 846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.32 : 1,396.44 = 613.92 : x
  2. Step 2: Convert to fraction form
    1,012.32/1,396.44 = 613.92/x
  3. Step 3: Cross multiply
    1,012.32x = 1,396.44 × 613.92
  4. Step 4: Simplify right side
    1,012.32x = 857,302.44
  5. Step 5: Solve for x
    x = 857,302.44/1,012.32
  6. Step 6: Final answer
    x = 846.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.