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Finding the Fourth Proportional to 1,434.29, 2,150.22 and 568.13

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Solution

The fourth proportional to 1,434.29, 2,150.22 and 568.13 is: 851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.29 : 2,150.22 = 568.13 : x
  2. Step 2: Convert to fraction form
    1,434.29/2,150.22 = 568.13/x
  3. Step 3: Cross multiply
    1,434.29x = 2,150.22 × 568.13
  4. Step 4: Simplify right side
    1,434.29x = 1,221,604.49
  5. Step 5: Solve for x
    x = 1,221,604.49/1,434.29
  6. Step 6: Final answer
    x = 851.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.