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Finding the Fourth Proportional to 823.06, 1,233.87 and 411.62

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Solution

The fourth proportional to 823.06, 1,233.87 and 411.62 is: 617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.06 : 1,233.87 = 411.62 : x
  2. Step 2: Convert to fraction form
    823.06/1,233.87 = 411.62/x
  3. Step 3: Cross multiply
    823.06x = 1,233.87 × 411.62
  4. Step 4: Simplify right side
    823.06x = 507,877.86
  5. Step 5: Solve for x
    x = 507,877.86/823.06
  6. Step 6: Final answer
    x = 617.06

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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.