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Finding the Fourth Proportional to 749.57, 1,034.22 and 418.00

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Solution

The fourth proportional to 749.57, 1,034.22 and 418.00 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.57 : 1,034.22 = 418.00 : x
  2. Step 2: Convert to fraction form
    749.57/1,034.22 = 418.00/x
  3. Step 3: Cross multiply
    749.57x = 1,034.22 × 418.00
  4. Step 4: Simplify right side
    749.57x = 432,308.76
  5. Step 5: Solve for x
    x = 432,308.76/749.57
  6. Step 6: Final answer
    x = 576.74

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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.