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Finding the Fourth Proportional to 723.33, 1,083.78 and 448.74

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Solution

The fourth proportional to 723.33, 1,083.78 and 448.74 is: 672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.33 : 1,083.78 = 448.74 : x
  2. Step 2: Convert to fraction form
    723.33/1,083.78 = 448.74/x
  3. Step 3: Cross multiply
    723.33x = 1,083.78 × 448.74
  4. Step 4: Simplify right side
    723.33x = 486,335.44
  5. Step 5: Solve for x
    x = 486,335.44/723.33
  6. Step 6: Final answer
    x = 672.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.