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Finding the Fourth Proportional to 1,219.97, 1,683.42 and 688.82

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Solution

The fourth proportional to 1,219.97, 1,683.42 and 688.82 is: 950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.97 : 1,683.42 = 688.82 : x
  2. Step 2: Convert to fraction form
    1,219.97/1,683.42 = 688.82/x
  3. Step 3: Cross multiply
    1,219.97x = 1,683.42 × 688.82
  4. Step 4: Simplify right side
    1,219.97x = 1,159,562.36
  5. Step 5: Solve for x
    x = 1,159,562.36/1,219.97
  6. Step 6: Final answer
    x = 950.48

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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.