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Finding the Fourth Proportional to 979.01, 1,468.73 and 285.69

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Solution

The fourth proportional to 979.01, 1,468.73 and 285.69 is: 428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.01 : 1,468.73 = 285.69 : x
  2. Step 2: Convert to fraction form
    979.01/1,468.73 = 285.69/x
  3. Step 3: Cross multiply
    979.01x = 1,468.73 × 285.69
  4. Step 4: Simplify right side
    979.01x = 419,600.05
  5. Step 5: Solve for x
    x = 419,600.05/979.01
  6. Step 6: Final answer
    x = 428.60

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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.