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Finding the Fourth Proportional to 976.92, 1,462.14 and 610.92

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Solution

The fourth proportional to 976.92, 1,462.14 and 610.92 is: 914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.92 : 1,462.14 = 610.92 : x
  2. Step 2: Convert to fraction form
    976.92/1,462.14 = 610.92/x
  3. Step 3: Cross multiply
    976.92x = 1,462.14 × 610.92
  4. Step 4: Simplify right side
    976.92x = 893,250.57
  5. Step 5: Solve for x
    x = 893,250.57/976.92
  6. Step 6: Final answer
    x = 914.35

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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.