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Finding the Fourth Proportional to 814.86, 1,124.26 and 460.74

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Solution

The fourth proportional to 814.86, 1,124.26 and 460.74 is: 635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.86 : 1,124.26 = 460.74 : x
  2. Step 2: Convert to fraction form
    814.86/1,124.26 = 460.74/x
  3. Step 3: Cross multiply
    814.86x = 1,124.26 × 460.74
  4. Step 4: Simplify right side
    814.86x = 517,991.55
  5. Step 5: Solve for x
    x = 517,991.55/814.86
  6. Step 6: Final answer
    x = 635.68

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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.