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Finding the Fourth Proportional to 1,422.38, 2,133.70 and 497.82

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Solution

The fourth proportional to 1,422.38, 2,133.70 and 497.82 is: 746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.38 : 2,133.70 = 497.82 : x
  2. Step 2: Convert to fraction form
    1,422.38/2,133.70 = 497.82/x
  3. Step 3: Cross multiply
    1,422.38x = 2,133.70 × 497.82
  4. Step 4: Simplify right side
    1,422.38x = 1,062,198.53
  5. Step 5: Solve for x
    x = 1,062,198.53/1,422.38
  6. Step 6: Final answer
    x = 746.78

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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.