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Finding the Fourth Proportional to 800.86, 1,200.33 and 523.35

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Solution

The fourth proportional to 800.86, 1,200.33 and 523.35 is: 784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.86 : 1,200.33 = 523.35 : x
  2. Step 2: Convert to fraction form
    800.86/1,200.33 = 523.35/x
  3. Step 3: Cross multiply
    800.86x = 1,200.33 × 523.35
  4. Step 4: Simplify right side
    800.86x = 628,184.09
  5. Step 5: Solve for x
    x = 628,184.09/800.86
  6. Step 6: Final answer
    x = 784.39

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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.