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Finding the Fourth Proportional to 813.16, 1,219.83 and 265.38

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Solution

The fourth proportional to 813.16, 1,219.83 and 265.38 is: 398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.16 : 1,219.83 = 265.38 : x
  2. Step 2: Convert to fraction form
    813.16/1,219.83 = 265.38/x
  3. Step 3: Cross multiply
    813.16x = 1,219.83 × 265.38
  4. Step 4: Simplify right side
    813.16x = 323,718.49
  5. Step 5: Solve for x
    x = 323,718.49/813.16
  6. Step 6: Final answer
    x = 398.10

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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.