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Finding the Fourth Proportional to 822.57, 1,233.28 and 411.41

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Solution

The fourth proportional to 822.57, 1,233.28 and 411.41 is: 616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.57 : 1,233.28 = 411.41 : x
  2. Step 2: Convert to fraction form
    822.57/1,233.28 = 411.41/x
  3. Step 3: Cross multiply
    822.57x = 1,233.28 × 411.41
  4. Step 4: Simplify right side
    822.57x = 507,385.01
  5. Step 5: Solve for x
    x = 507,385.01/822.57
  6. Step 6: Final answer
    x = 616.83

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Half scale
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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.