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Finding the Fourth Proportional to 813.84, 1,221.08 and 489.44

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Solution

The fourth proportional to 813.84, 1,221.08 and 489.44 is: 734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.84 : 1,221.08 = 489.44 : x
  2. Step 2: Convert to fraction form
    813.84/1,221.08 = 489.44/x
  3. Step 3: Cross multiply
    813.84x = 1,221.08 × 489.44
  4. Step 4: Simplify right side
    813.84x = 597,645.40
  5. Step 5: Solve for x
    x = 597,645.40/813.84
  6. Step 6: Final answer
    x = 734.35

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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.