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Finding the Fourth Proportional to 813.34, 1,221.84 and 488.94

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Solution

The fourth proportional to 813.34, 1,221.84 and 488.94 is: 734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.34 : 1,221.84 = 488.94 : x
  2. Step 2: Convert to fraction form
    813.34/1,221.84 = 488.94/x
  3. Step 3: Cross multiply
    813.34x = 1,221.84 × 488.94
  4. Step 4: Simplify right side
    813.34x = 597,406.45
  5. Step 5: Solve for x
    x = 597,406.45/813.34
  6. Step 6: Final answer
    x = 734.51

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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.