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Finding the Fourth Proportional to 1,219.66, 1,683.15 and 695.69

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Solution

The fourth proportional to 1,219.66, 1,683.15 and 695.69 is: 960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.66 : 1,683.15 = 695.69 : x
  2. Step 2: Convert to fraction form
    1,219.66/1,683.15 = 695.69/x
  3. Step 3: Cross multiply
    1,219.66x = 1,683.15 × 695.69
  4. Step 4: Simplify right side
    1,219.66x = 1,170,945.91
  5. Step 5: Solve for x
    x = 1,170,945.91/1,219.66
  6. Step 6: Final answer
    x = 960.06

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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.