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Finding the Fourth Proportional to 906.86, 1,252.06 and 696.65

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Solution

The fourth proportional to 906.86, 1,252.06 and 696.65 is: 961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.86 : 1,252.06 = 696.65 : x
  2. Step 2: Convert to fraction form
    906.86/1,252.06 = 696.65/x
  3. Step 3: Cross multiply
    906.86x = 1,252.06 × 696.65
  4. Step 4: Simplify right side
    906.86x = 872,248.99
  5. Step 5: Solve for x
    x = 872,248.99/906.86
  6. Step 6: Final answer
    x = 961.84

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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.