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Finding the Fourth Proportional to 678.14, 1,017.12 and 191.24

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Solution

The fourth proportional to 678.14, 1,017.12 and 191.24 is: 286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.14 : 1,017.12 = 191.24 : x
  2. Step 2: Convert to fraction form
    678.14/1,017.12 = 191.24/x
  3. Step 3: Cross multiply
    678.14x = 1,017.12 × 191.24
  4. Step 4: Simplify right side
    678.14x = 194,514.03
  5. Step 5: Solve for x
    x = 194,514.03/678.14
  6. Step 6: Final answer
    x = 286.83

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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.