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Finding the Fourth Proportional to 798.60, 1,197.28 and 365.64

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Solution

The fourth proportional to 798.60, 1,197.28 and 365.64 is: 548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.60 : 1,197.28 = 365.64 : x
  2. Step 2: Convert to fraction form
    798.60/1,197.28 = 365.64/x
  3. Step 3: Cross multiply
    798.60x = 1,197.28 × 365.64
  4. Step 4: Simplify right side
    798.60x = 437,773.46
  5. Step 5: Solve for x
    x = 437,773.46/798.60
  6. Step 6: Final answer
    x = 548.18

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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.