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Finding the Fourth Proportional to 799.20, 1,197.48 and 365.40

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Solution

The fourth proportional to 799.20, 1,197.48 and 365.40 is: 547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.20 : 1,197.48 = 365.40 : x
  2. Step 2: Convert to fraction form
    799.20/1,197.48 = 365.40/x
  3. Step 3: Cross multiply
    799.20x = 1,197.48 × 365.40
  4. Step 4: Simplify right side
    799.20x = 437,559.19
  5. Step 5: Solve for x
    x = 437,559.19/799.20
  6. Step 6: Final answer
    x = 547.50

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1.5x scale

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.