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Finding the Fourth Proportional to 1,433.29, 1,977.84 and 843.71

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Solution

The fourth proportional to 1,433.29, 1,977.84 and 843.71 is: 1,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.29 : 1,977.84 = 843.71 : x
  2. Step 2: Convert to fraction form
    1,433.29/1,977.84 = 843.71/x
  3. Step 3: Cross multiply
    1,433.29x = 1,977.84 × 843.71
  4. Step 4: Simplify right side
    1,433.29x = 1,668,728.33
  5. Step 5: Solve for x
    x = 1,668,728.33/1,433.29
  6. Step 6: Final answer
    x = 1,164.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.