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Finding the Fourth Proportional to 1,198.18, 1,651.25 and 866.03

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Solution

The fourth proportional to 1,198.18, 1,651.25 and 866.03 is: 1,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.18 : 1,651.25 = 866.03 : x
  2. Step 2: Convert to fraction form
    1,198.18/1,651.25 = 866.03/x
  3. Step 3: Cross multiply
    1,198.18x = 1,651.25 × 866.03
  4. Step 4: Simplify right side
    1,198.18x = 1,430,032.04
  5. Step 5: Solve for x
    x = 1,430,032.04/1,198.18
  6. Step 6: Final answer
    x = 1,193.50

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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.