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Finding the Fourth Proportional to 823.03, 1,234.54 and 411.75

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Solution

The fourth proportional to 823.03, 1,234.54 and 411.75 is: 617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.03 : 1,234.54 = 411.75 : x
  2. Step 2: Convert to fraction form
    823.03/1,234.54 = 411.75/x
  3. Step 3: Cross multiply
    823.03x = 1,234.54 × 411.75
  4. Step 4: Simplify right side
    823.03x = 508,321.85
  5. Step 5: Solve for x
    x = 508,321.85/823.03
  6. Step 6: Final answer
    x = 617.62

Related Problems

Find fourth proportional to 411.52, 617.27 and 205.88
Half scale
Find fourth proportional to 1,646.06, 2,469.08 and 823.50
Double scale
Find fourth proportional to 824.03, 1,236.04 and 412.75
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.