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Finding the Fourth Proportional to 1,049.69, 1,448.77 and 695.62

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Solution

The fourth proportional to 1,049.69, 1,448.77 and 695.62 is: 960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.69 : 1,448.77 = 695.62 : x
  2. Step 2: Convert to fraction form
    1,049.69/1,448.77 = 695.62/x
  3. Step 3: Cross multiply
    1,049.69x = 1,448.77 × 695.62
  4. Step 4: Simplify right side
    1,049.69x = 1,007,793.39
  5. Step 5: Solve for x
    x = 1,007,793.39/1,049.69
  6. Step 6: Final answer
    x = 960.09

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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.