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Finding the Fourth Proportional to 814.35, 1,123.73 and 478.20

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Solution

The fourth proportional to 814.35, 1,123.73 and 478.20 is: 659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.35 : 1,123.73 = 478.20 : x
  2. Step 2: Convert to fraction form
    814.35/1,123.73 = 478.20/x
  3. Step 3: Cross multiply
    814.35x = 1,123.73 × 478.20
  4. Step 4: Simplify right side
    814.35x = 537,367.69
  5. Step 5: Solve for x
    x = 537,367.69/814.35
  6. Step 6: Final answer
    x = 659.87

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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.