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Finding the Fourth Proportional to 1,221.27, 1,685.35 and 697.29

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Solution

The fourth proportional to 1,221.27, 1,685.35 and 697.29 is: 962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.27 : 1,685.35 = 697.29 : x
  2. Step 2: Convert to fraction form
    1,221.27/1,685.35 = 697.29/x
  3. Step 3: Cross multiply
    1,221.27x = 1,685.35 × 697.29
  4. Step 4: Simplify right side
    1,221.27x = 1,175,177.70
  5. Step 5: Solve for x
    x = 1,175,177.70/1,221.27
  6. Step 6: Final answer
    x = 962.26

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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.