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Finding the Fourth Proportional to 797.74, 1,197.11 and 432.63

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Solution

The fourth proportional to 797.74, 1,197.11 and 432.63 is: 649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.74 : 1,197.11 = 432.63 : x
  2. Step 2: Convert to fraction form
    797.74/1,197.11 = 432.63/x
  3. Step 3: Cross multiply
    797.74x = 1,197.11 × 432.63
  4. Step 4: Simplify right side
    797.74x = 517,906.78
  5. Step 5: Solve for x
    x = 517,906.78/797.74
  6. Step 6: Final answer
    x = 649.22

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Half scale
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Double scale
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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.