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Finding the Fourth Proportional to 798.26, 1,197.40 and 304.70

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Solution

The fourth proportional to 798.26, 1,197.40 and 304.70 is: 457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.26 : 1,197.40 = 304.70 : x
  2. Step 2: Convert to fraction form
    798.26/1,197.40 = 304.70/x
  3. Step 3: Cross multiply
    798.26x = 1,197.40 × 304.70
  4. Step 4: Simplify right side
    798.26x = 364,847.78
  5. Step 5: Solve for x
    x = 364,847.78/798.26
  6. Step 6: Final answer
    x = 457.05

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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.