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Finding the Fourth Proportional to 798.26, 1,197.38 and 433.22

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Solution

The fourth proportional to 798.26, 1,197.38 and 433.22 is: 649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.26 : 1,197.38 = 433.22 : x
  2. Step 2: Convert to fraction form
    798.26/1,197.38 = 433.22/x
  3. Step 3: Cross multiply
    798.26x = 1,197.38 × 433.22
  4. Step 4: Simplify right side
    798.26x = 518,724.06
  5. Step 5: Solve for x
    x = 518,724.06/798.26
  6. Step 6: Final answer
    x = 649.82

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Half scale
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Double scale
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Similar ratio
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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.