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Finding the Fourth Proportional to 867.15, 1,198.17 and 836.01

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Solution

The fourth proportional to 867.15, 1,198.17 and 836.01 is: 1,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.15 : 1,198.17 = 836.01 : x
  2. Step 2: Convert to fraction form
    867.15/1,198.17 = 836.01/x
  3. Step 3: Cross multiply
    867.15x = 1,198.17 × 836.01
  4. Step 4: Simplify right side
    867.15x = 1,001,682.10
  5. Step 5: Solve for x
    x = 1,001,682.10/867.15
  6. Step 6: Final answer
    x = 1,155.14

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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.