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Finding the Fourth Proportional to 976.67, 1,464.20 and 669.12

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Solution

The fourth proportional to 976.67, 1,464.20 and 669.12 is: 1,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.67 : 1,464.20 = 669.12 : x
  2. Step 2: Convert to fraction form
    976.67/1,464.20 = 669.12/x
  3. Step 3: Cross multiply
    976.67x = 1,464.20 × 669.12
  4. Step 4: Simplify right side
    976.67x = 979,722.16
  5. Step 5: Solve for x
    x = 979,722.16/976.67
  6. Step 6: Final answer
    x = 1,003.13

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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.