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Finding the Fourth Proportional to 749.23, 1,033.98 and 417.73

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Solution

The fourth proportional to 749.23, 1,033.98 and 417.73 is: 576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.23 : 1,033.98 = 417.73 : x
  2. Step 2: Convert to fraction form
    749.23/1,033.98 = 417.73/x
  3. Step 3: Cross multiply
    749.23x = 1,033.98 × 417.73
  4. Step 4: Simplify right side
    749.23x = 431,924.47
  5. Step 5: Solve for x
    x = 431,924.47/749.23
  6. Step 6: Final answer
    x = 576.49

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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.