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Finding the Fourth Proportional to 1,422.35, 2,133.83 and 448.52

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Solution

The fourth proportional to 1,422.35, 2,133.83 and 448.52 is: 672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.35 : 2,133.83 = 448.52 : x
  2. Step 2: Convert to fraction form
    1,422.35/2,133.83 = 448.52/x
  3. Step 3: Cross multiply
    1,422.35x = 2,133.83 × 448.52
  4. Step 4: Simplify right side
    1,422.35x = 957,063.19
  5. Step 5: Solve for x
    x = 957,063.19/1,422.35
  6. Step 6: Final answer
    x = 672.87

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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.