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Finding the Fourth Proportional to 798.99, 1,197.75 and 285.87

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Solution

The fourth proportional to 798.99, 1,197.75 and 285.87 is: 428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.99 : 1,197.75 = 285.87 : x
  2. Step 2: Convert to fraction form
    798.99/1,197.75 = 285.87/x
  3. Step 3: Cross multiply
    798.99x = 1,197.75 × 285.87
  4. Step 4: Simplify right side
    798.99x = 342,400.79
  5. Step 5: Solve for x
    x = 342,400.79/798.99
  6. Step 6: Final answer
    x = 428.54

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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.