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Finding the Fourth Proportional to 1,422.73, 2,133.78 and 448.66

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Solution

The fourth proportional to 1,422.73, 2,133.78 and 448.66 is: 672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.73 : 2,133.78 = 448.66 : x
  2. Step 2: Convert to fraction form
    1,422.73/2,133.78 = 448.66/x
  3. Step 3: Cross multiply
    1,422.73x = 2,133.78 × 448.66
  4. Step 4: Simplify right side
    1,422.73x = 957,341.73
  5. Step 5: Solve for x
    x = 957,341.73/1,422.73
  6. Step 6: Final answer
    x = 672.89

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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.