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Finding the Fourth Proportional to 773.80, 1,068.77 and 563.64

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Solution

The fourth proportional to 773.80, 1,068.77 and 563.64 is: 778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.80 : 1,068.77 = 563.64 : x
  2. Step 2: Convert to fraction form
    773.80/1,068.77 = 563.64/x
  3. Step 3: Cross multiply
    773.80x = 1,068.77 × 563.64
  4. Step 4: Simplify right side
    773.80x = 602,401.52
  5. Step 5: Solve for x
    x = 602,401.52/773.80
  6. Step 6: Final answer
    x = 778.50

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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.