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Finding the Fourth Proportional to 1,348.32, 2,022.63 and 423.91

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Solution

The fourth proportional to 1,348.32, 2,022.63 and 423.91 is: 635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.32 : 2,022.63 = 423.91 : x
  2. Step 2: Convert to fraction form
    1,348.32/2,022.63 = 423.91/x
  3. Step 3: Cross multiply
    1,348.32x = 2,022.63 × 423.91
  4. Step 4: Simplify right side
    1,348.32x = 857,400.85
  5. Step 5: Solve for x
    x = 857,400.85/1,348.32
  6. Step 6: Final answer
    x = 635.90

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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.