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Finding the Fourth Proportional to 778.85, 1,074.78 and 424.77

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Solution

The fourth proportional to 778.85, 1,074.78 and 424.77 is: 586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.85 : 1,074.78 = 424.77 : x
  2. Step 2: Convert to fraction form
    778.85/1,074.78 = 424.77/x
  3. Step 3: Cross multiply
    778.85x = 1,074.78 × 424.77
  4. Step 4: Simplify right side
    778.85x = 456,534.30
  5. Step 5: Solve for x
    x = 456,534.30/778.85
  6. Step 6: Final answer
    x = 586.17

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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.