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Finding the Fourth Proportional to 813.24, 1,219.64 and 265.32

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Solution

The fourth proportional to 813.24, 1,219.64 and 265.32 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.24 : 1,219.64 = 265.32 : x
  2. Step 2: Convert to fraction form
    813.24/1,219.64 = 265.32/x
  3. Step 3: Cross multiply
    813.24x = 1,219.64 × 265.32
  4. Step 4: Simplify right side
    813.24x = 323,593.56
  5. Step 5: Solve for x
    x = 323,593.56/813.24
  6. Step 6: Final answer
    x = 397.91

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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.