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Finding the Fourth Proportional to 750.22, 1,034.60 and 541.78

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Solution

The fourth proportional to 750.22, 1,034.60 and 541.78 is: 747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.22 : 1,034.60 = 541.78 : x
  2. Step 2: Convert to fraction form
    750.22/1,034.60 = 541.78/x
  3. Step 3: Cross multiply
    750.22x = 1,034.60 × 541.78
  4. Step 4: Simplify right side
    750.22x = 560,525.59
  5. Step 5: Solve for x
    x = 560,525.59/750.22
  6. Step 6: Final answer
    x = 747.15

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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.