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Finding the Fourth Proportional to 976.08, 1,462.49 and 686.91

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Solution

The fourth proportional to 976.08, 1,462.49 and 686.91 is: 1,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.08 : 1,462.49 = 686.91 : x
  2. Step 2: Convert to fraction form
    976.08/1,462.49 = 686.91/x
  3. Step 3: Cross multiply
    976.08x = 1,462.49 × 686.91
  4. Step 4: Simplify right side
    976.08x = 1,004,593.41
  5. Step 5: Solve for x
    x = 1,004,593.41/976.08
  6. Step 6: Final answer
    x = 1,029.22

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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.