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Finding the Fourth Proportional to 822.23, 1,232.83 and 274.27

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Solution

The fourth proportional to 822.23, 1,232.83 and 274.27 is: 411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.23 : 1,232.83 = 274.27 : x
  2. Step 2: Convert to fraction form
    822.23/1,232.83 = 274.27/x
  3. Step 3: Cross multiply
    822.23x = 1,232.83 × 274.27
  4. Step 4: Simplify right side
    822.23x = 338,128.28
  5. Step 5: Solve for x
    x = 338,128.28/822.23
  6. Step 6: Final answer
    x = 411.23

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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.