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Finding the Fourth Proportional to 976.39, 1,465.76 and 821.95

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Solution

The fourth proportional to 976.39, 1,465.76 and 821.95 is: 1,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.39 : 1,465.76 = 821.95 : x
  2. Step 2: Convert to fraction form
    976.39/1,465.76 = 821.95/x
  3. Step 3: Cross multiply
    976.39x = 1,465.76 × 821.95
  4. Step 4: Simplify right side
    976.39x = 1,204,777.32
  5. Step 5: Solve for x
    x = 1,204,777.32/976.39
  6. Step 6: Final answer
    x = 1,233.91

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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.