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Finding the Fourth Proportional to 798.42, 1,197.53 and 213.47

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Solution

The fourth proportional to 798.42, 1,197.53 and 213.47 is: 320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.42 : 1,197.53 = 213.47 : x
  2. Step 2: Convert to fraction form
    798.42/1,197.53 = 213.47/x
  3. Step 3: Cross multiply
    798.42x = 1,197.53 × 213.47
  4. Step 4: Simplify right side
    798.42x = 255,634.08
  5. Step 5: Solve for x
    x = 255,634.08/798.42
  6. Step 6: Final answer
    x = 320.18

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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.