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Finding the Fourth Proportional to 813.91, 1,219.17 and 489.10

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Solution

The fourth proportional to 813.91, 1,219.17 and 489.10 is: 732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.91 : 1,219.17 = 489.10 : x
  2. Step 2: Convert to fraction form
    813.91/1,219.17 = 489.10/x
  3. Step 3: Cross multiply
    813.91x = 1,219.17 × 489.10
  4. Step 4: Simplify right side
    813.91x = 596,296.05
  5. Step 5: Solve for x
    x = 596,296.05/813.91
  6. Step 6: Final answer
    x = 732.63

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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.