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Finding the Fourth Proportional to 1,198.58, 1,654.34 and 800.24

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Solution

The fourth proportional to 1,198.58, 1,654.34 and 800.24 is: 1,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.58 : 1,654.34 = 800.24 : x
  2. Step 2: Convert to fraction form
    1,198.58/1,654.34 = 800.24/x
  3. Step 3: Cross multiply
    1,198.58x = 1,654.34 × 800.24
  4. Step 4: Simplify right side
    1,198.58x = 1,323,856.77
  5. Step 5: Solve for x
    x = 1,323,856.77/1,198.58
  6. Step 6: Final answer
    x = 1,104.53

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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.