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Finding the Fourth Proportional to 800.57, 1,104.49 and 506.25

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Solution

The fourth proportional to 800.57, 1,104.49 and 506.25 is: 698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.57 : 1,104.49 = 506.25 : x
  2. Step 2: Convert to fraction form
    800.57/1,104.49 = 506.25/x
  3. Step 3: Cross multiply
    800.57x = 1,104.49 × 506.25
  4. Step 4: Simplify right side
    800.57x = 559,148.06
  5. Step 5: Solve for x
    x = 559,148.06/800.57
  6. Step 6: Final answer
    x = 698.44

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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.