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Finding the Fourth Proportional to 979.55, 1,469.10 and 286.06

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Solution

The fourth proportional to 979.55, 1,469.10 and 286.06 is: 429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.55 : 1,469.10 = 286.06 : x
  2. Step 2: Convert to fraction form
    979.55/1,469.10 = 286.06/x
  3. Step 3: Cross multiply
    979.55x = 1,469.10 × 286.06
  4. Step 4: Simplify right side
    979.55x = 420,250.75
  5. Step 5: Solve for x
    x = 420,250.75/979.55
  6. Step 6: Final answer
    x = 429.02

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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.