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Finding the Fourth Proportional to 778.06, 1,166.02 and 430.88

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Solution

The fourth proportional to 778.06, 1,166.02 and 430.88 is: 645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.06 : 1,166.02 = 430.88 : x
  2. Step 2: Convert to fraction form
    778.06/1,166.02 = 430.88/x
  3. Step 3: Cross multiply
    778.06x = 1,166.02 × 430.88
  4. Step 4: Simplify right side
    778.06x = 502,414.70
  5. Step 5: Solve for x
    x = 502,414.70/778.06
  6. Step 6: Final answer
    x = 645.73

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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.