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Finding the Fourth Proportional to 813.29, 1,219.02 and 350.83

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Solution

The fourth proportional to 813.29, 1,219.02 and 350.83 is: 525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.29 : 1,219.02 = 350.83 : x
  2. Step 2: Convert to fraction form
    813.29/1,219.02 = 350.83/x
  3. Step 3: Cross multiply
    813.29x = 1,219.02 × 350.83
  4. Step 4: Simplify right side
    813.29x = 427,671.95
  5. Step 5: Solve for x
    x = 427,671.95/813.29
  6. Step 6: Final answer
    x = 525.85

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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.