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Finding the Fourth Proportional to 797.96, 1,197.10 and 433.08

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Solution

The fourth proportional to 797.96, 1,197.10 and 433.08 is: 649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.96 : 1,197.10 = 433.08 : x
  2. Step 2: Convert to fraction form
    797.96/1,197.10 = 433.08/x
  3. Step 3: Cross multiply
    797.96x = 1,197.10 × 433.08
  4. Step 4: Simplify right side
    797.96x = 518,440.07
  5. Step 5: Solve for x
    x = 518,440.07/797.96
  6. Step 6: Final answer
    x = 649.71

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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.