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Finding the Fourth Proportional to 800.50, 1,104.69 and 432.50

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Solution

The fourth proportional to 800.50, 1,104.69 and 432.50 is: 596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.50 : 1,104.69 = 432.50 : x
  2. Step 2: Convert to fraction form
    800.50/1,104.69 = 432.50/x
  3. Step 3: Cross multiply
    800.50x = 1,104.69 × 432.50
  4. Step 4: Simplify right side
    800.50x = 477,778.43
  5. Step 5: Solve for x
    x = 477,778.43/800.50
  6. Step 6: Final answer
    x = 596.85

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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.