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Finding the Fourth Proportional to 1,422.92, 2,134.47 and 498.37

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Solution

The fourth proportional to 1,422.92, 2,134.47 and 498.37 is: 747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.92 : 2,134.47 = 498.37 : x
  2. Step 2: Convert to fraction form
    1,422.92/2,134.47 = 498.37/x
  3. Step 3: Cross multiply
    1,422.92x = 2,134.47 × 498.37
  4. Step 4: Simplify right side
    1,422.92x = 1,063,745.14
  5. Step 5: Solve for x
    x = 1,063,745.14/1,422.92
  6. Step 6: Final answer
    x = 747.58

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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.