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Finding the Fourth Proportional to 927.82, 1,390.82 and 441.21

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Solution

The fourth proportional to 927.82, 1,390.82 and 441.21 is: 661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.82 : 1,390.82 = 441.21 : x
  2. Step 2: Convert to fraction form
    927.82/1,390.82 = 441.21/x
  3. Step 3: Cross multiply
    927.82x = 1,390.82 × 441.21
  4. Step 4: Simplify right side
    927.82x = 613,649.18
  5. Step 5: Solve for x
    x = 613,649.18/927.82
  6. Step 6: Final answer
    x = 661.39

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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.