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Finding the Fourth Proportional to 1,447.26, 1,997.19 and 784.11

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Solution

The fourth proportional to 1,447.26, 1,997.19 and 784.11 is: 1,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.26 : 1,997.19 = 784.11 : x
  2. Step 2: Convert to fraction form
    1,447.26/1,997.19 = 784.11/x
  3. Step 3: Cross multiply
    1,447.26x = 1,997.19 × 784.11
  4. Step 4: Simplify right side
    1,447.26x = 1,566,016.65
  5. Step 5: Solve for x
    x = 1,566,016.65/1,447.26
  6. Step 6: Final answer
    x = 1,082.06

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Why These Related Problems?

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