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Finding the Fourth Proportional to 778.87, 1,074.82 and 429.55

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Solution

The fourth proportional to 778.87, 1,074.82 and 429.55 is: 592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.87 : 1,074.82 = 429.55 : x
  2. Step 2: Convert to fraction form
    778.87/1,074.82 = 429.55/x
  3. Step 3: Cross multiply
    778.87x = 1,074.82 × 429.55
  4. Step 4: Simplify right side
    778.87x = 461,688.93
  5. Step 5: Solve for x
    x = 461,688.93/778.87
  6. Step 6: Final answer
    x = 592.77

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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.