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Finding the Fourth Proportional to 1,028.78, 1,419.50 and 679.26

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Solution

The fourth proportional to 1,028.78, 1,419.50 and 679.26 is: 937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.78 : 1,419.50 = 679.26 : x
  2. Step 2: Convert to fraction form
    1,028.78/1,419.50 = 679.26/x
  3. Step 3: Cross multiply
    1,028.78x = 1,419.50 × 679.26
  4. Step 4: Simplify right side
    1,028.78x = 964,209.57
  5. Step 5: Solve for x
    x = 964,209.57/1,028.78
  6. Step 6: Final answer
    x = 937.24

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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.