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Finding the Fourth Proportional to 778.97, 1,074.93 and 429.67

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Solution

The fourth proportional to 778.97, 1,074.93 and 429.67 is: 592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.97 : 1,074.93 = 429.67 : x
  2. Step 2: Convert to fraction form
    778.97/1,074.93 = 429.67/x
  3. Step 3: Cross multiply
    778.97x = 1,074.93 × 429.67
  4. Step 4: Simplify right side
    778.97x = 461,859.80
  5. Step 5: Solve for x
    x = 461,859.80/778.97
  6. Step 6: Final answer
    x = 592.91

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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.