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Finding the Fourth Proportional to 778.78, 1,074.27 and 483.82

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Solution

The fourth proportional to 778.78, 1,074.27 and 483.82 is: 667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.78 : 1,074.27 = 483.82 : x
  2. Step 2: Convert to fraction form
    778.78/1,074.27 = 483.82/x
  3. Step 3: Cross multiply
    778.78x = 1,074.27 × 483.82
  4. Step 4: Simplify right side
    778.78x = 519,753.31
  5. Step 5: Solve for x
    x = 519,753.31/778.78
  6. Step 6: Final answer
    x = 667.39

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Double scale
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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.