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Finding the Fourth Proportional to 778.77, 1,074.02 and 601.74

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Solution

The fourth proportional to 778.77, 1,074.02 and 601.74 is: 829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.77 : 1,074.02 = 601.74 : x
  2. Step 2: Convert to fraction form
    778.77/1,074.02 = 601.74/x
  3. Step 3: Cross multiply
    778.77x = 1,074.02 × 601.74
  4. Step 4: Simplify right side
    778.77x = 646,277.79
  5. Step 5: Solve for x
    x = 646,277.79/778.77
  6. Step 6: Final answer
    x = 829.87

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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.