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Finding the Fourth Proportional to 927.11, 1,390.66 and 440.51

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Solution

The fourth proportional to 927.11, 1,390.66 and 440.51 is: 660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.11 : 1,390.66 = 440.51 : x
  2. Step 2: Convert to fraction form
    927.11/1,390.66 = 440.51/x
  3. Step 3: Cross multiply
    927.11x = 1,390.66 × 440.51
  4. Step 4: Simplify right side
    927.11x = 612,599.64
  5. Step 5: Solve for x
    x = 612,599.64/927.11
  6. Step 6: Final answer
    x = 660.76

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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.