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Finding the Fourth Proportional to 1,347.15, 2,020.72 and 422.71

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Solution

The fourth proportional to 1,347.15, 2,020.72 and 422.71 is: 634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.15 : 2,020.72 = 422.71 : x
  2. Step 2: Convert to fraction form
    1,347.15/2,020.72 = 422.71/x
  3. Step 3: Cross multiply
    1,347.15x = 2,020.72 × 422.71
  4. Step 4: Simplify right side
    1,347.15x = 854,181.61
  5. Step 5: Solve for x
    x = 854,181.61/1,347.15
  6. Step 6: Final answer
    x = 634.07

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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.