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Finding the Fourth Proportional to 976.50, 1,464.24 and 586.14

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Solution

The fourth proportional to 976.50, 1,464.24 and 586.14 is: 878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.50 : 1,464.24 = 586.14 : x
  2. Step 2: Convert to fraction form
    976.50/1,464.24 = 586.14/x
  3. Step 3: Cross multiply
    976.50x = 1,464.24 × 586.14
  4. Step 4: Simplify right side
    976.50x = 858,249.63
  5. Step 5: Solve for x
    x = 858,249.63/976.50
  6. Step 6: Final answer
    x = 878.90

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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.