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Finding the Fourth Proportional to 679.29, 1,019.14 and 284.16

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Solution

The fourth proportional to 679.29, 1,019.14 and 284.16 is: 426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.29 : 1,019.14 = 284.16 : x
  2. Step 2: Convert to fraction form
    679.29/1,019.14 = 284.16/x
  3. Step 3: Cross multiply
    679.29x = 1,019.14 × 284.16
  4. Step 4: Simplify right side
    679.29x = 289,601.30
  5. Step 5: Solve for x
    x = 289,601.30/679.29
  6. Step 6: Final answer
    x = 426.33

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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.