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Finding the Fourth Proportional to 1,347.89, 2,022.20 and 423.48

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Solution

The fourth proportional to 1,347.89, 2,022.20 and 423.48 is: 635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.89 : 2,022.20 = 423.48 : x
  2. Step 2: Convert to fraction form
    1,347.89/2,022.20 = 423.48/x
  3. Step 3: Cross multiply
    1,347.89x = 2,022.20 × 423.48
  4. Step 4: Simplify right side
    1,347.89x = 856,359.14
  5. Step 5: Solve for x
    x = 856,359.14/1,347.89
  6. Step 6: Final answer
    x = 635.34

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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.