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Finding the Fourth Proportional to 822.46, 1,233.22 and 274.49

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Solution

The fourth proportional to 822.46, 1,233.22 and 274.49 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.46 : 1,233.22 = 274.49 : x
  2. Step 2: Convert to fraction form
    822.46/1,233.22 = 274.49/x
  3. Step 3: Cross multiply
    822.46x = 1,233.22 × 274.49
  4. Step 4: Simplify right side
    822.46x = 338,506.56
  5. Step 5: Solve for x
    x = 338,506.56/822.46
  6. Step 6: Final answer
    x = 411.58

Related Problems

Find fourth proportional to 411.23, 616.61 and 137.25
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.