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Finding the Fourth Proportional to 814.85, 1,124.44 and 460.81

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Solution

The fourth proportional to 814.85, 1,124.44 and 460.81 is: 635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.85 : 1,124.44 = 460.81 : x
  2. Step 2: Convert to fraction form
    814.85/1,124.44 = 460.81/x
  3. Step 3: Cross multiply
    814.85x = 1,124.44 × 460.81
  4. Step 4: Simplify right side
    814.85x = 518,153.20
  5. Step 5: Solve for x
    x = 518,153.20/814.85
  6. Step 6: Final answer
    x = 635.89

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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.