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Finding the Fourth Proportional to 800.42, 1,205.24 and 596.42

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Solution

The fourth proportional to 800.42, 1,205.24 and 596.42 is: 898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.42 : 1,205.24 = 596.42 : x
  2. Step 2: Convert to fraction form
    800.42/1,205.24 = 596.42/x
  3. Step 3: Cross multiply
    800.42x = 1,205.24 × 596.42
  4. Step 4: Simplify right side
    800.42x = 718,829.24
  5. Step 5: Solve for x
    x = 718,829.24/800.42
  6. Step 6: Final answer
    x = 898.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.