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Finding the Fourth Proportional to 814.56, 1,123.43 and 482.73

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Solution

The fourth proportional to 814.56, 1,123.43 and 482.73 is: 665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.56 : 1,123.43 = 482.73 : x
  2. Step 2: Convert to fraction form
    814.56/1,123.43 = 482.73/x
  3. Step 3: Cross multiply
    814.56x = 1,123.43 × 482.73
  4. Step 4: Simplify right side
    814.56x = 542,310.95
  5. Step 5: Solve for x
    x = 542,310.95/814.56
  6. Step 6: Final answer
    x = 665.77

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.