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Finding the Fourth Proportional to 797.37, 1,195.98 and 364.49

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Solution

The fourth proportional to 797.37, 1,195.98 and 364.49 is: 546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.37 : 1,195.98 = 364.49 : x
  2. Step 2: Convert to fraction form
    797.37/1,195.98 = 364.49/x
  3. Step 3: Cross multiply
    797.37x = 1,195.98 × 364.49
  4. Step 4: Simplify right side
    797.37x = 435,922.75
  5. Step 5: Solve for x
    x = 435,922.75/797.37
  6. Step 6: Final answer
    x = 546.70

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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.