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Finding the Fourth Proportional to 822.35, 1,233.11 and 274.34

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Solution

The fourth proportional to 822.35, 1,233.11 and 274.34 is: 411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.35 : 1,233.11 = 274.34 : x
  2. Step 2: Convert to fraction form
    822.35/1,233.11 = 274.34/x
  3. Step 3: Cross multiply
    822.35x = 1,233.11 × 274.34
  4. Step 4: Simplify right side
    822.35x = 338,295.17
  5. Step 5: Solve for x
    x = 338,295.17/822.35
  6. Step 6: Final answer
    x = 411.37

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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.