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Finding the Fourth Proportional to 826.20, 1,138.86 and 669.06

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Solution

The fourth proportional to 826.20, 1,138.86 and 669.06 is: 922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.20 : 1,138.86 = 669.06 : x
  2. Step 2: Convert to fraction form
    826.20/1,138.86 = 669.06/x
  3. Step 3: Cross multiply
    826.20x = 1,138.86 × 669.06
  4. Step 4: Simplify right side
    826.20x = 761,965.67
  5. Step 5: Solve for x
    x = 761,965.67/826.20
  6. Step 6: Final answer
    x = 922.25

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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.