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Finding the Fourth Proportional to 778.97, 1,074.89 and 429.65

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Solution

The fourth proportional to 778.97, 1,074.89 and 429.65 is: 592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.97 : 1,074.89 = 429.65 : x
  2. Step 2: Convert to fraction form
    778.97/1,074.89 = 429.65/x
  3. Step 3: Cross multiply
    778.97x = 1,074.89 × 429.65
  4. Step 4: Simplify right side
    778.97x = 461,824.34
  5. Step 5: Solve for x
    x = 461,824.34/778.97
  6. Step 6: Final answer
    x = 592.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.