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Finding the Fourth Proportional to 967.89, 1,336.11 and 614.13

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Solution

The fourth proportional to 967.89, 1,336.11 and 614.13 is: 847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.89 : 1,336.11 = 614.13 : x
  2. Step 2: Convert to fraction form
    967.89/1,336.11 = 614.13/x
  3. Step 3: Cross multiply
    967.89x = 1,336.11 × 614.13
  4. Step 4: Simplify right side
    967.89x = 820,545.23
  5. Step 5: Solve for x
    x = 820,545.23/967.89
  6. Step 6: Final answer
    x = 847.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.