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Finding the Fourth Proportional to 798.69, 1,197.13 and 360.30

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Solution

The fourth proportional to 798.69, 1,197.13 and 360.30 is: 540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.69 : 1,197.13 = 360.30 : x
  2. Step 2: Convert to fraction form
    798.69/1,197.13 = 360.30/x
  3. Step 3: Cross multiply
    798.69x = 1,197.13 × 360.30
  4. Step 4: Simplify right side
    798.69x = 431,325.94
  5. Step 5: Solve for x
    x = 431,325.94/798.69
  6. Step 6: Final answer
    x = 540.04

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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.