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Finding the Fourth Proportional to 811.35, 1,214.73 and 502.43

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Solution

The fourth proportional to 811.35, 1,214.73 and 502.43 is: 752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.35 : 1,214.73 = 502.43 : x
  2. Step 2: Convert to fraction form
    811.35/1,214.73 = 502.43/x
  3. Step 3: Cross multiply
    811.35x = 1,214.73 × 502.43
  4. Step 4: Simplify right side
    811.35x = 610,310.72
  5. Step 5: Solve for x
    x = 610,310.72/811.35
  6. Step 6: Final answer
    x = 752.22

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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.