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Finding the Fourth Proportional to 826.22, 1,139.53 and 702.29

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Solution

The fourth proportional to 826.22, 1,139.53 and 702.29 is: 968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.22 : 1,139.53 = 702.29 : x
  2. Step 2: Convert to fraction form
    826.22/1,139.53 = 702.29/x
  3. Step 3: Cross multiply
    826.22x = 1,139.53 × 702.29
  4. Step 4: Simplify right side
    826.22x = 800,277.01
  5. Step 5: Solve for x
    x = 800,277.01/826.22
  6. Step 6: Final answer
    x = 968.60

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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.