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Finding the Fourth Proportional to 778.62, 1,166.34 and 485.16

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Solution

The fourth proportional to 778.62, 1,166.34 and 485.16 is: 726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.62 : 1,166.34 = 485.16 : x
  2. Step 2: Convert to fraction form
    778.62/1,166.34 = 485.16/x
  3. Step 3: Cross multiply
    778.62x = 1,166.34 × 485.16
  4. Step 4: Simplify right side
    778.62x = 565,861.51
  5. Step 5: Solve for x
    x = 565,861.51/778.62
  6. Step 6: Final answer
    x = 726.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.