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Finding the Fourth Proportional to 749.86, 1,034.62 and 563.79

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Solution

The fourth proportional to 749.86, 1,034.62 and 563.79 is: 777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.86 : 1,034.62 = 563.79 : x
  2. Step 2: Convert to fraction form
    749.86/1,034.62 = 563.79/x
  3. Step 3: Cross multiply
    749.86x = 1,034.62 × 563.79
  4. Step 4: Simplify right side
    749.86x = 583,310.88
  5. Step 5: Solve for x
    x = 583,310.88/749.86
  6. Step 6: Final answer
    x = 777.90

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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.