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Finding the Fourth Proportional to 820.96, 1,237.24 and 772.32

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Solution

The fourth proportional to 820.96, 1,237.24 and 772.32 is: 1,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.96 : 1,237.24 = 772.32 : x
  2. Step 2: Convert to fraction form
    820.96/1,237.24 = 772.32/x
  3. Step 3: Cross multiply
    820.96x = 1,237.24 × 772.32
  4. Step 4: Simplify right side
    820.96x = 955,545.20
  5. Step 5: Solve for x
    x = 955,545.20/820.96
  6. Step 6: Final answer
    x = 1,163.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.