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Finding the Fourth Proportional to 778.34, 1,074.30 and 483.44

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Solution

The fourth proportional to 778.34, 1,074.30 and 483.44 is: 667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.34 : 1,074.30 = 483.44 : x
  2. Step 2: Convert to fraction form
    778.34/1,074.30 = 483.44/x
  3. Step 3: Cross multiply
    778.34x = 1,074.30 × 483.44
  4. Step 4: Simplify right side
    778.34x = 519,352.41
  5. Step 5: Solve for x
    x = 519,352.41/778.34
  6. Step 6: Final answer
    x = 667.25

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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.