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Finding the Fourth Proportional to 1,281.81, 1,769 and 757.95

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Solution

The fourth proportional to 1,281.81, 1,769 and 757.95 is: 1,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.81 : 1,769 = 757.95 : x
  2. Step 2: Convert to fraction form
    1,281.81/1,769 = 757.95/x
  3. Step 3: Cross multiply
    1,281.81x = 1,769 × 757.95
  4. Step 4: Simplify right side
    1,281.81x = 1,340,813.55
  5. Step 5: Solve for x
    x = 1,340,813.55/1,281.81
  6. Step 6: Final answer
    x = 1,046.03

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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.