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Finding the Fourth Proportional to 1,280.52, 1,767.15 and 783.44

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Solution

The fourth proportional to 1,280.52, 1,767.15 and 783.44 is: 1,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.52 : 1,767.15 = 783.44 : x
  2. Step 2: Convert to fraction form
    1,280.52/1,767.15 = 783.44/x
  3. Step 3: Cross multiply
    1,280.52x = 1,767.15 × 783.44
  4. Step 4: Simplify right side
    1,280.52x = 1,384,453.79
  5. Step 5: Solve for x
    x = 1,384,453.79/1,280.52
  6. Step 6: Final answer
    x = 1,081.17

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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.