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Finding the Fourth Proportional to 1,072.25, 1,479.80 and 679.13

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Solution

The fourth proportional to 1,072.25, 1,479.80 and 679.13 is: 937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.25 : 1,479.80 = 679.13 : x
  2. Step 2: Convert to fraction form
    1,072.25/1,479.80 = 679.13/x
  3. Step 3: Cross multiply
    1,072.25x = 1,479.80 × 679.13
  4. Step 4: Simplify right side
    1,072.25x = 1,004,973.18
  5. Step 5: Solve for x
    x = 1,004,973.18/1,072.25
  6. Step 6: Final answer
    x = 937.26

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