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Finding the Fourth Proportional to 1,280.62, 1,767.39 and 756.70

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Solution

The fourth proportional to 1,280.62, 1,767.39 and 756.70 is: 1,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.62 : 1,767.39 = 756.70 : x
  2. Step 2: Convert to fraction form
    1,280.62/1,767.39 = 756.70/x
  3. Step 3: Cross multiply
    1,280.62x = 1,767.39 × 756.70
  4. Step 4: Simplify right side
    1,280.62x = 1,337,384.01
  5. Step 5: Solve for x
    x = 1,337,384.01/1,280.62
  6. Step 6: Final answer
    x = 1,044.33

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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.