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Finding the Fourth Proportional to 808.92, 1,113.57 and 697.77

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Solution

The fourth proportional to 808.92, 1,113.57 and 697.77 is: 960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.92 : 1,113.57 = 697.77 : x
  2. Step 2: Convert to fraction form
    808.92/1,113.57 = 697.77/x
  3. Step 3: Cross multiply
    808.92x = 1,113.57 × 697.77
  4. Step 4: Simplify right side
    808.92x = 777,015.74
  5. Step 5: Solve for x
    x = 777,015.74/808.92
  6. Step 6: Final answer
    x = 960.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.