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Finding the Fourth Proportional to 800.02, 1,198.40 and 557.02

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Solution

The fourth proportional to 800.02, 1,198.40 and 557.02 is: 834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.02 : 1,198.40 = 557.02 : x
  2. Step 2: Convert to fraction form
    800.02/1,198.40 = 557.02/x
  3. Step 3: Cross multiply
    800.02x = 1,198.40 × 557.02
  4. Step 4: Simplify right side
    800.02x = 667,532.77
  5. Step 5: Solve for x
    x = 667,532.77/800.02
  6. Step 6: Final answer
    x = 834.40

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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.