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Finding the Fourth Proportional to 1,462.58, 2,193.90 and 422.72

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Solution

The fourth proportional to 1,462.58, 2,193.90 and 422.72 is: 634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.58 : 2,193.90 = 422.72 : x
  2. Step 2: Convert to fraction form
    1,462.58/2,193.90 = 422.72/x
  3. Step 3: Cross multiply
    1,462.58x = 2,193.90 × 422.72
  4. Step 4: Simplify right side
    1,462.58x = 927,405.41
  5. Step 5: Solve for x
    x = 927,405.41/1,462.58
  6. Step 6: Final answer
    x = 634.09

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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.