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Finding the Fourth Proportional to 798.74, 1,197.38 and 285.62

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Solution

The fourth proportional to 798.74, 1,197.38 and 285.62 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.74 : 1,197.38 = 285.62 : x
  2. Step 2: Convert to fraction form
    798.74/1,197.38 = 285.62/x
  3. Step 3: Cross multiply
    798.74x = 1,197.38 × 285.62
  4. Step 4: Simplify right side
    798.74x = 341,995.68
  5. Step 5: Solve for x
    x = 341,995.68/798.74
  6. Step 6: Final answer
    x = 428.17

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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.