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Finding the Fourth Proportional to 979.65, 1,469.13 and 286.11

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Solution

The fourth proportional to 979.65, 1,469.13 and 286.11 is: 429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.65 : 1,469.13 = 286.11 : x
  2. Step 2: Convert to fraction form
    979.65/1,469.13 = 286.11/x
  3. Step 3: Cross multiply
    979.65x = 1,469.13 × 286.11
  4. Step 4: Simplify right side
    979.65x = 420,332.78
  5. Step 5: Solve for x
    x = 420,332.78/979.65
  6. Step 6: Final answer
    x = 429.06

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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.