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Finding the Fourth Proportional to 1,348.18, 2,022.12 and 423.70

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Solution

The fourth proportional to 1,348.18, 2,022.12 and 423.70 is: 635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.18 : 2,022.12 = 423.70 : x
  2. Step 2: Convert to fraction form
    1,348.18/2,022.12 = 423.70/x
  3. Step 3: Cross multiply
    1,348.18x = 2,022.12 × 423.70
  4. Step 4: Simplify right side
    1,348.18x = 856,772.24
  5. Step 5: Solve for x
    x = 856,772.24/1,348.18
  6. Step 6: Final answer
    x = 635.50

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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.