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Finding the Fourth Proportional to 813.34, 1,219.20 and 466.25

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Solution

The fourth proportional to 813.34, 1,219.20 and 466.25 is: 698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.34 : 1,219.20 = 466.25 : x
  2. Step 2: Convert to fraction form
    813.34/1,219.20 = 466.25/x
  3. Step 3: Cross multiply
    813.34x = 1,219.20 × 466.25
  4. Step 4: Simplify right side
    813.34x = 568,453.30
  5. Step 5: Solve for x
    x = 568,453.30/813.34
  6. Step 6: Final answer
    x = 698.91

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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.