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Finding the Fourth Proportional to 1,422.86, 2,133.92 and 448.95

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Solution

The fourth proportional to 1,422.86, 2,133.92 and 448.95 is: 673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.86 : 2,133.92 = 448.95 : x
  2. Step 2: Convert to fraction form
    1,422.86/2,133.92 = 448.95/x
  3. Step 3: Cross multiply
    1,422.86x = 2,133.92 × 448.95
  4. Step 4: Simplify right side
    1,422.86x = 958,021.14
  5. Step 5: Solve for x
    x = 958,021.14/1,422.86
  6. Step 6: Final answer
    x = 673.31

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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.