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Finding the Fourth Proportional to 814.63, 1,124.17 and 460.56

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Solution

The fourth proportional to 814.63, 1,124.17 and 460.56 is: 635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.63 : 1,124.17 = 460.56 : x
  2. Step 2: Convert to fraction form
    814.63/1,124.17 = 460.56/x
  3. Step 3: Cross multiply
    814.63x = 1,124.17 × 460.56
  4. Step 4: Simplify right side
    814.63x = 517,747.74
  5. Step 5: Solve for x
    x = 517,747.74/814.63
  6. Step 6: Final answer
    x = 635.56

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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.