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Finding the Fourth Proportional to 778.21, 1,074.06 and 446.72

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Solution

The fourth proportional to 778.21, 1,074.06 and 446.72 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.21 : 1,074.06 = 446.72 : x
  2. Step 2: Convert to fraction form
    778.21/1,074.06 = 446.72/x
  3. Step 3: Cross multiply
    778.21x = 1,074.06 × 446.72
  4. Step 4: Simplify right side
    778.21x = 479,798.71
  5. Step 5: Solve for x
    x = 479,798.71/778.21
  6. Step 6: Final answer
    x = 616.54

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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.