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Finding the Fourth Proportional to 800.42, 1,200.29 and 596.30

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Solution

The fourth proportional to 800.42, 1,200.29 and 596.30 is: 894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.42 : 1,200.29 = 596.30 : x
  2. Step 2: Convert to fraction form
    800.42/1,200.29 = 596.30/x
  3. Step 3: Cross multiply
    800.42x = 1,200.29 × 596.30
  4. Step 4: Simplify right side
    800.42x = 715,723.94
  5. Step 5: Solve for x
    x = 715,723.94/800.42
  6. Step 6: Final answer
    x = 894.19

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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.