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Finding the Fourth Proportional to 813.93, 1,221.24 and 506.05

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Solution

The fourth proportional to 813.93, 1,221.24 and 506.05 is: 759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.93 : 1,221.24 = 506.05 : x
  2. Step 2: Convert to fraction form
    813.93/1,221.24 = 506.05/x
  3. Step 3: Cross multiply
    813.93x = 1,221.24 × 506.05
  4. Step 4: Simplify right side
    813.93x = 618,004.11
  5. Step 5: Solve for x
    x = 618,004.11/813.93
  6. Step 6: Final answer
    x = 759.28

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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.