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Finding the Fourth Proportional to 778.14, 1,074.78 and 568.98

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Solution

The fourth proportional to 778.14, 1,074.78 and 568.98 is: 785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.14 : 1,074.78 = 568.98 : x
  2. Step 2: Convert to fraction form
    778.14/1,074.78 = 568.98/x
  3. Step 3: Cross multiply
    778.14x = 1,074.78 × 568.98
  4. Step 4: Simplify right side
    778.14x = 611,528.32
  5. Step 5: Solve for x
    x = 611,528.32/778.14
  6. Step 6: Final answer
    x = 785.88

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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.