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Finding the Fourth Proportional to 749.31, 1,033.99 and 417.72

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Solution

The fourth proportional to 749.31, 1,033.99 and 417.72 is: 576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.31 : 1,033.99 = 417.72 : x
  2. Step 2: Convert to fraction form
    749.31/1,033.99 = 417.72/x
  3. Step 3: Cross multiply
    749.31x = 1,033.99 × 417.72
  4. Step 4: Simplify right side
    749.31x = 431,918.30
  5. Step 5: Solve for x
    x = 431,918.30/749.31
  6. Step 6: Final answer
    x = 576.42

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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.