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Finding the Fourth Proportional to 800.83, 1,104.96 and 506.44

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Solution

The fourth proportional to 800.83, 1,104.96 and 506.44 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.83 : 1,104.96 = 506.44 : x
  2. Step 2: Convert to fraction form
    800.83/1,104.96 = 506.44/x
  3. Step 3: Cross multiply
    800.83x = 1,104.96 × 506.44
  4. Step 4: Simplify right side
    800.83x = 559,595.94
  5. Step 5: Solve for x
    x = 559,595.94/800.83
  6. Step 6: Final answer
    x = 698.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.