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Finding the Fourth Proportional to 927.74, 1,391.49 and 465.44

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Solution

The fourth proportional to 927.74, 1,391.49 and 465.44 is: 698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.74 : 1,391.49 = 465.44 : x
  2. Step 2: Convert to fraction form
    927.74/1,391.49 = 465.44/x
  3. Step 3: Cross multiply
    927.74x = 1,391.49 × 465.44
  4. Step 4: Simplify right side
    927.74x = 647,655.11
  5. Step 5: Solve for x
    x = 647,655.11/927.74
  6. Step 6: Final answer
    x = 698.10

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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.