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Finding the Fourth Proportional to 823.10, 1,234.26 and 275.13

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Solution

The fourth proportional to 823.10, 1,234.26 and 275.13 is: 412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.10 : 1,234.26 = 275.13 : x
  2. Step 2: Convert to fraction form
    823.10/1,234.26 = 275.13/x
  3. Step 3: Cross multiply
    823.10x = 1,234.26 × 275.13
  4. Step 4: Simplify right side
    823.10x = 339,586.58
  5. Step 5: Solve for x
    x = 339,586.58/823.10
  6. Step 6: Final answer
    x = 412.57

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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.