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Finding the Fourth Proportional to 1,280.75, 1,767.47 and 783.29

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Solution

The fourth proportional to 1,280.75, 1,767.47 and 783.29 is: 1,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.75 : 1,767.47 = 783.29 : x
  2. Step 2: Convert to fraction form
    1,280.75/1,767.47 = 783.29/x
  3. Step 3: Cross multiply
    1,280.75x = 1,767.47 × 783.29
  4. Step 4: Simplify right side
    1,280.75x = 1,384,442.08
  5. Step 5: Solve for x
    x = 1,384,442.08/1,280.75
  6. Step 6: Final answer
    x = 1,080.96

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1.5x scale

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.