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Finding the Fourth Proportional to 1,280.82, 1,767.70 and 757.02

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Solution

The fourth proportional to 1,280.82, 1,767.70 and 757.02 is: 1,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.82 : 1,767.70 = 757.02 : x
  2. Step 2: Convert to fraction form
    1,280.82/1,767.70 = 757.02/x
  3. Step 3: Cross multiply
    1,280.82x = 1,767.70 × 757.02
  4. Step 4: Simplify right side
    1,280.82x = 1,338,184.25
  5. Step 5: Solve for x
    x = 1,338,184.25/1,280.82
  6. Step 6: Final answer
    x = 1,044.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.