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Finding the Fourth Proportional to 778.71, 1,074.69 and 543

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Solution

The fourth proportional to 778.71, 1,074.69 and 543 is: 749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.71 : 1,074.69 = 543 : x
  2. Step 2: Convert to fraction form
    778.71/1,074.69 = 543/x
  3. Step 3: Cross multiply
    778.71x = 1,074.69 × 543
  4. Step 4: Simplify right side
    778.71x = 583,556.67
  5. Step 5: Solve for x
    x = 583,556.67/778.71
  6. Step 6: Final answer
    x = 749.39

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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.