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Finding the Fourth Proportional to 798.63, 1,197.95 and 366.27

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Solution

The fourth proportional to 798.63, 1,197.95 and 366.27 is: 549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.63 : 1,197.95 = 366.27 : x
  2. Step 2: Convert to fraction form
    798.63/1,197.95 = 366.27/x
  3. Step 3: Cross multiply
    798.63x = 1,197.95 × 366.27
  4. Step 4: Simplify right side
    798.63x = 438,773.15
  5. Step 5: Solve for x
    x = 438,773.15/798.63
  6. Step 6: Final answer
    x = 549.41

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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.