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Finding the Fourth Proportional to 823.06, 1,232.61 and 411.67

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Solution

The fourth proportional to 823.06, 1,232.61 and 411.67 is: 616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.06 : 1,232.61 = 411.67 : x
  2. Step 2: Convert to fraction form
    823.06/1,232.61 = 411.67/x
  3. Step 3: Cross multiply
    823.06x = 1,232.61 × 411.67
  4. Step 4: Simplify right side
    823.06x = 507,428.56
  5. Step 5: Solve for x
    x = 507,428.56/823.06
  6. Step 6: Final answer
    x = 616.51

Related Problems

Find fourth proportional to 411.53, 616.31 and 205.84
Half scale
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Double scale
Find fourth proportional to 824.06, 1,234.11 and 412.67
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.