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Finding the Fourth Proportional to 822.12, 1,233.04 and 274.26

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Solution

The fourth proportional to 822.12, 1,233.04 and 274.26 is: 411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,233.04 = 274.26 : x
  2. Step 2: Convert to fraction form
    822.12/1,233.04 = 274.26/x
  3. Step 3: Cross multiply
    822.12x = 1,233.04 × 274.26
  4. Step 4: Simplify right side
    822.12x = 338,173.55
  5. Step 5: Solve for x
    x = 338,173.55/822.12
  6. Step 6: Final answer
    x = 411.34

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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.