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Finding the Fourth Proportional to 813.15, 1,219.77 and 265.38

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Solution

The fourth proportional to 813.15, 1,219.77 and 265.38 is: 398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.15 : 1,219.77 = 265.38 : x
  2. Step 2: Convert to fraction form
    813.15/1,219.77 = 265.38/x
  3. Step 3: Cross multiply
    813.15x = 1,219.77 × 265.38
  4. Step 4: Simplify right side
    813.15x = 323,702.56
  5. Step 5: Solve for x
    x = 323,702.56/813.15
  6. Step 6: Final answer
    x = 398.08

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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.