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Finding the Fourth Proportional to 1,222.85, 1,686.12 and 891.42

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Solution

The fourth proportional to 1,222.85, 1,686.12 and 891.42 is: 1,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.85 : 1,686.12 = 891.42 : x
  2. Step 2: Convert to fraction form
    1,222.85/1,686.12 = 891.42/x
  3. Step 3: Cross multiply
    1,222.85x = 1,686.12 × 891.42
  4. Step 4: Simplify right side
    1,222.85x = 1,503,041.09
  5. Step 5: Solve for x
    x = 1,503,041.09/1,222.85
  6. Step 6: Final answer
    x = 1,229.13

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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.