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Finding the Fourth Proportional to 749.79, 1,034.73 and 563.49

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Solution

The fourth proportional to 749.79, 1,034.73 and 563.49 is: 777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.79 : 1,034.73 = 563.49 : x
  2. Step 2: Convert to fraction form
    749.79/1,034.73 = 563.49/x
  3. Step 3: Cross multiply
    749.79x = 1,034.73 × 563.49
  4. Step 4: Simplify right side
    749.79x = 583,060.01
  5. Step 5: Solve for x
    x = 583,060.01/749.79
  6. Step 6: Final answer
    x = 777.63

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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.