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Finding the Fourth Proportional to 976.71, 1,467.87 and 813.18

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Solution

The fourth proportional to 976.71, 1,467.87 and 813.18 is: 1,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.71 : 1,467.87 = 813.18 : x
  2. Step 2: Convert to fraction form
    976.71/1,467.87 = 813.18/x
  3. Step 3: Cross multiply
    976.71x = 1,467.87 × 813.18
  4. Step 4: Simplify right side
    976.71x = 1,193,642.53
  5. Step 5: Solve for x
    x = 1,193,642.53/976.71
  6. Step 6: Final answer
    x = 1,222.11

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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.