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Finding the Fourth Proportional to 826.57, 1,139.67 and 714.33

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Solution

The fourth proportional to 826.57, 1,139.67 and 714.33 is: 984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.57 : 1,139.67 = 714.33 : x
  2. Step 2: Convert to fraction form
    826.57/1,139.67 = 714.33/x
  3. Step 3: Cross multiply
    826.57x = 1,139.67 × 714.33
  4. Step 4: Simplify right side
    826.57x = 814,100.47
  5. Step 5: Solve for x
    x = 814,100.47/826.57
  6. Step 6: Final answer
    x = 984.91

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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.