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Finding the Fourth Proportional to 798.55, 1,197.83 and 336.21

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Solution

The fourth proportional to 798.55, 1,197.83 and 336.21 is: 504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.55 : 1,197.83 = 336.21 : x
  2. Step 2: Convert to fraction form
    798.55/1,197.83 = 336.21/x
  3. Step 3: Cross multiply
    798.55x = 1,197.83 × 336.21
  4. Step 4: Simplify right side
    798.55x = 402,722.42
  5. Step 5: Solve for x
    x = 402,722.42/798.55
  6. Step 6: Final answer
    x = 504.32

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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.