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Finding the Fourth Proportional to 798.58, 1,198.10 and 360.19

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Solution

The fourth proportional to 798.58, 1,198.10 and 360.19 is: 540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.58 : 1,198.10 = 360.19 : x
  2. Step 2: Convert to fraction form
    798.58/1,198.10 = 360.19/x
  3. Step 3: Cross multiply
    798.58x = 1,198.10 × 360.19
  4. Step 4: Simplify right side
    798.58x = 431,543.64
  5. Step 5: Solve for x
    x = 431,543.64/798.58
  6. Step 6: Final answer
    x = 540.39

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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.