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Finding the Fourth Proportional to 800.25, 1,103.67 and 520.35

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Solution

The fourth proportional to 800.25, 1,103.67 and 520.35 is: 717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.25 : 1,103.67 = 520.35 : x
  2. Step 2: Convert to fraction form
    800.25/1,103.67 = 520.35/x
  3. Step 3: Cross multiply
    800.25x = 1,103.67 × 520.35
  4. Step 4: Simplify right side
    800.25x = 574,290.55
  5. Step 5: Solve for x
    x = 574,290.55/800.25
  6. Step 6: Final answer
    x = 717.64

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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.