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Finding the Fourth Proportional to 1,222.18, 1,686.65 and 691.27

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Solution

The fourth proportional to 1,222.18, 1,686.65 and 691.27 is: 953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.18 : 1,686.65 = 691.27 : x
  2. Step 2: Convert to fraction form
    1,222.18/1,686.65 = 691.27/x
  3. Step 3: Cross multiply
    1,222.18x = 1,686.65 × 691.27
  4. Step 4: Simplify right side
    1,222.18x = 1,165,930.55
  5. Step 5: Solve for x
    x = 1,165,930.55/1,222.18
  6. Step 6: Final answer
    x = 953.98

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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.