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Finding the Fourth Proportional to 773.38, 1,066.25 and 563.60

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Solution

The fourth proportional to 773.38, 1,066.25 and 563.60 is: 777.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.38 : 1,066.25 = 563.60 : x
  2. Step 2: Convert to fraction form
    773.38/1,066.25 = 563.60/x
  3. Step 3: Cross multiply
    773.38x = 1,066.25 × 563.60
  4. Step 4: Simplify right side
    773.38x = 600,938.50
  5. Step 5: Solve for x
    x = 600,938.50/773.38
  6. Step 6: Final answer
    x = 777.03

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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.