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Finding the Fourth Proportional to 822.08, 1,233.58 and 274.44

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Solution

The fourth proportional to 822.08, 1,233.58 and 274.44 is: 411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.08 : 1,233.58 = 274.44 : x
  2. Step 2: Convert to fraction form
    822.08/1,233.58 = 274.44/x
  3. Step 3: Cross multiply
    822.08x = 1,233.58 × 274.44
  4. Step 4: Simplify right side
    822.08x = 338,543.70
  5. Step 5: Solve for x
    x = 338,543.70/822.08
  6. Step 6: Final answer
    x = 411.81

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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.