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Finding the Fourth Proportional to 778.77, 1,074.47 and 545.49

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Solution

The fourth proportional to 778.77, 1,074.47 and 545.49 is: 752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.77 : 1,074.47 = 545.49 : x
  2. Step 2: Convert to fraction form
    778.77/1,074.47 = 545.49/x
  3. Step 3: Cross multiply
    778.77x = 1,074.47 × 545.49
  4. Step 4: Simplify right side
    778.77x = 586,109.91
  5. Step 5: Solve for x
    x = 586,109.91/778.77
  6. Step 6: Final answer
    x = 752.61

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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.