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Finding the Fourth Proportional to 1,072.40, 1,479.84 and 679.55

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Solution

The fourth proportional to 1,072.40, 1,479.84 and 679.55 is: 937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.40 : 1,479.84 = 679.55 : x
  2. Step 2: Convert to fraction form
    1,072.40/1,479.84 = 679.55/x
  3. Step 3: Cross multiply
    1,072.40x = 1,479.84 × 679.55
  4. Step 4: Simplify right side
    1,072.40x = 1,005,625.27
  5. Step 5: Solve for x
    x = 1,005,625.27/1,072.40
  6. Step 6: Final answer
    x = 937.73

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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.