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Finding the Fourth Proportional to 1,290.11, 1,787.85 and 1,265.49

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Solution

The fourth proportional to 1,290.11, 1,787.85 and 1,265.49 is: 1,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.11 : 1,787.85 = 1,265.49 : x
  2. Step 2: Convert to fraction form
    1,290.11/1,787.85 = 1,265.49/x
  3. Step 3: Cross multiply
    1,290.11x = 1,787.85 × 1,265.49
  4. Step 4: Simplify right side
    1,290.11x = 2,262,506.30
  5. Step 5: Solve for x
    x = 2,262,506.30/1,290.11
  6. Step 6: Final answer
    x = 1,753.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.