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Finding the Fourth Proportional to 778.86, 1,075.26 and 568.83

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Solution

The fourth proportional to 778.86, 1,075.26 and 568.83 is: 785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.86 : 1,075.26 = 568.83 : x
  2. Step 2: Convert to fraction form
    778.86/1,075.26 = 568.83/x
  3. Step 3: Cross multiply
    778.86x = 1,075.26 × 568.83
  4. Step 4: Simplify right side
    778.86x = 611,640.15
  5. Step 5: Solve for x
    x = 611,640.15/778.86
  6. Step 6: Final answer
    x = 785.30

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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.