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Finding the Fourth Proportional to 976.68, 1,454.69 and 971.97

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Solution

The fourth proportional to 976.68, 1,454.69 and 971.97 is: 1,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.68 : 1,454.69 = 971.97 : x
  2. Step 2: Convert to fraction form
    976.68/1,454.69 = 971.97/x
  3. Step 3: Cross multiply
    976.68x = 1,454.69 × 971.97
  4. Step 4: Simplify right side
    976.68x = 1,413,910.18
  5. Step 5: Solve for x
    x = 1,413,910.18/976.68
  6. Step 6: Final answer
    x = 1,447.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.