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Finding the Fourth Proportional to 1,447.34, 1,997.33 and 784.21

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Solution

The fourth proportional to 1,447.34, 1,997.33 and 784.21 is: 1,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.34 : 1,997.33 = 784.21 : x
  2. Step 2: Convert to fraction form
    1,447.34/1,997.33 = 784.21/x
  3. Step 3: Cross multiply
    1,447.34x = 1,997.33 × 784.21
  4. Step 4: Simplify right side
    1,447.34x = 1,566,317.24
  5. Step 5: Solve for x
    x = 1,566,317.24/1,447.34
  6. Step 6: Final answer
    x = 1,082.20

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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.