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Finding the Fourth Proportional to 1,219.50, 1,683.21 and 695.84

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Solution

The fourth proportional to 1,219.50, 1,683.21 and 695.84 is: 960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.50 : 1,683.21 = 695.84 : x
  2. Step 2: Convert to fraction form
    1,219.50/1,683.21 = 695.84/x
  3. Step 3: Cross multiply
    1,219.50x = 1,683.21 × 695.84
  4. Step 4: Simplify right side
    1,219.50x = 1,171,236.43
  5. Step 5: Solve for x
    x = 1,171,236.43/1,219.50
  6. Step 6: Final answer
    x = 960.42

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Why These Related Problems?

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