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Finding the Fourth Proportional to 922.26, 1,270.97 and 659.82

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Solution

The fourth proportional to 922.26, 1,270.97 and 659.82 is: 909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.26 : 1,270.97 = 659.82 : x
  2. Step 2: Convert to fraction form
    922.26/1,270.97 = 659.82/x
  3. Step 3: Cross multiply
    922.26x = 1,270.97 × 659.82
  4. Step 4: Simplify right side
    922.26x = 838,608.13
  5. Step 5: Solve for x
    x = 838,608.13/922.26
  6. Step 6: Final answer
    x = 909.30

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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.