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Finding the Fourth Proportional to 822.27, 1,233.81 and 411.46

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Solution

The fourth proportional to 822.27, 1,233.81 and 411.46 is: 617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.27 : 1,233.81 = 411.46 : x
  2. Step 2: Convert to fraction form
    822.27/1,233.81 = 411.46/x
  3. Step 3: Cross multiply
    822.27x = 1,233.81 × 411.46
  4. Step 4: Simplify right side
    822.27x = 507,663.46
  5. Step 5: Solve for x
    x = 507,663.46/822.27
  6. Step 6: Final answer
    x = 617.39

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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.