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Finding the Fourth Proportional to 979.24, 1,468.77 and 286.09

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Solution

The fourth proportional to 979.24, 1,468.77 and 286.09 is: 429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.24 : 1,468.77 = 286.09 : x
  2. Step 2: Convert to fraction form
    979.24/1,468.77 = 286.09/x
  3. Step 3: Cross multiply
    979.24x = 1,468.77 × 286.09
  4. Step 4: Simplify right side
    979.24x = 420,200.41
  5. Step 5: Solve for x
    x = 420,200.41/979.24
  6. Step 6: Final answer
    x = 429.11

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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.