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Finding the Fourth Proportional to 1,198.91, 1,652.90 and 898.88

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Solution

The fourth proportional to 1,198.91, 1,652.90 and 898.88 is: 1,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.91 : 1,652.90 = 898.88 : x
  2. Step 2: Convert to fraction form
    1,198.91/1,652.90 = 898.88/x
  3. Step 3: Cross multiply
    1,198.91x = 1,652.90 × 898.88
  4. Step 4: Simplify right side
    1,198.91x = 1,485,758.75
  5. Step 5: Solve for x
    x = 1,485,758.75/1,198.91
  6. Step 6: Final answer
    x = 1,239.26

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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.