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Finding the Fourth Proportional to 1,284, 1,770.96 and 891.68

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Solution

The fourth proportional to 1,284, 1,770.96 and 891.68 is: 1,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284 : 1,770.96 = 891.68 : x
  2. Step 2: Convert to fraction form
    1,284/1,770.96 = 891.68/x
  3. Step 3: Cross multiply
    1,284x = 1,770.96 × 891.68
  4. Step 4: Simplify right side
    1,284x = 1,579,129.61
  5. Step 5: Solve for x
    x = 1,579,129.61/1,284
  6. Step 6: Final answer
    x = 1,229.85

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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.