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Finding the Fourth Proportional to 813.45, 1,219.35 and 461.55

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Solution

The fourth proportional to 813.45, 1,219.35 and 461.55 is: 691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.45 : 1,219.35 = 461.55 : x
  2. Step 2: Convert to fraction form
    813.45/1,219.35 = 461.55/x
  3. Step 3: Cross multiply
    813.45x = 1,219.35 × 461.55
  4. Step 4: Simplify right side
    813.45x = 562,790.99
  5. Step 5: Solve for x
    x = 562,790.99/813.45
  6. Step 6: Final answer
    x = 691.86

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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.