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Finding the Fourth Proportional to 778.86, 1,074.75 and 459.77

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Solution

The fourth proportional to 778.86, 1,074.75 and 459.77 is: 634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.86 : 1,074.75 = 459.77 : x
  2. Step 2: Convert to fraction form
    778.86/1,074.75 = 459.77/x
  3. Step 3: Cross multiply
    778.86x = 1,074.75 × 459.77
  4. Step 4: Simplify right side
    778.86x = 494,130.71
  5. Step 5: Solve for x
    x = 494,130.71/778.86
  6. Step 6: Final answer
    x = 634.43

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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.