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Finding the Fourth Proportional to 814.36, 1,123.86 and 460.43

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Solution

The fourth proportional to 814.36, 1,123.86 and 460.43 is: 635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.36 : 1,123.86 = 460.43 : x
  2. Step 2: Convert to fraction form
    814.36/1,123.86 = 460.43/x
  3. Step 3: Cross multiply
    814.36x = 1,123.86 × 460.43
  4. Step 4: Simplify right side
    814.36x = 517,458.86
  5. Step 5: Solve for x
    x = 517,458.86/814.36
  6. Step 6: Final answer
    x = 635.42

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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.