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Finding the Fourth Proportional to 798.82, 1,198.32 and 434.14

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Solution

The fourth proportional to 798.82, 1,198.32 and 434.14 is: 651.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.82 : 1,198.32 = 434.14 : x
  2. Step 2: Convert to fraction form
    798.82/1,198.32 = 434.14/x
  3. Step 3: Cross multiply
    798.82x = 1,198.32 × 434.14
  4. Step 4: Simplify right side
    798.82x = 520,238.64
  5. Step 5: Solve for x
    x = 520,238.64/798.82
  6. Step 6: Final answer
    x = 651.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.