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Finding the Fourth Proportional to 927.82, 1,391.52 and 465.90

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Solution

The fourth proportional to 927.82, 1,391.52 and 465.90 is: 698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.82 : 1,391.52 = 465.90 : x
  2. Step 2: Convert to fraction form
    927.82/1,391.52 = 465.90/x
  3. Step 3: Cross multiply
    927.82x = 1,391.52 × 465.90
  4. Step 4: Simplify right side
    927.82x = 648,309.17
  5. Step 5: Solve for x
    x = 648,309.17/927.82
  6. Step 6: Final answer
    x = 698.74

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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.