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Finding the Fourth Proportional to 1,364.27, 1,882.73 and 774.76

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Solution

The fourth proportional to 1,364.27, 1,882.73 and 774.76 is: 1,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.27 : 1,882.73 = 774.76 : x
  2. Step 2: Convert to fraction form
    1,364.27/1,882.73 = 774.76/x
  3. Step 3: Cross multiply
    1,364.27x = 1,882.73 × 774.76
  4. Step 4: Simplify right side
    1,364.27x = 1,458,650.61
  5. Step 5: Solve for x
    x = 1,458,650.61/1,364.27
  6. Step 6: Final answer
    x = 1,069.18

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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.