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Finding the Fourth Proportional to 979.32, 1,468.67 and 286.04

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Solution

The fourth proportional to 979.32, 1,468.67 and 286.04 is: 428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.32 : 1,468.67 = 286.04 : x
  2. Step 2: Convert to fraction form
    979.32/1,468.67 = 286.04/x
  3. Step 3: Cross multiply
    979.32x = 1,468.67 × 286.04
  4. Step 4: Simplify right side
    979.32x = 420,091.74
  5. Step 5: Solve for x
    x = 420,091.74/979.32
  6. Step 6: Final answer
    x = 428.96

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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.