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Finding the Fourth Proportional to 1,193.27, 1,646.62 and 695.81

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Solution

The fourth proportional to 1,193.27, 1,646.62 and 695.81 is: 960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.27 : 1,646.62 = 695.81 : x
  2. Step 2: Convert to fraction form
    1,193.27/1,646.62 = 695.81/x
  3. Step 3: Cross multiply
    1,193.27x = 1,646.62 × 695.81
  4. Step 4: Simplify right side
    1,193.27x = 1,145,737.04
  5. Step 5: Solve for x
    x = 1,145,737.04/1,193.27
  6. Step 6: Final answer
    x = 960.17

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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.