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Finding the Fourth Proportional to 798.47, 1,197.52 and 304.78

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Solution

The fourth proportional to 798.47, 1,197.52 and 304.78 is: 457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.47 : 1,197.52 = 304.78 : x
  2. Step 2: Convert to fraction form
    798.47/1,197.52 = 304.78/x
  3. Step 3: Cross multiply
    798.47x = 1,197.52 × 304.78
  4. Step 4: Simplify right side
    798.47x = 364,976.39
  5. Step 5: Solve for x
    x = 364,976.39/798.47
  6. Step 6: Final answer
    x = 457.09

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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.