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Finding the Fourth Proportional to 814.37, 1,124.21 and 464.99

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Solution

The fourth proportional to 814.37, 1,124.21 and 464.99 is: 641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.37 : 1,124.21 = 464.99 : x
  2. Step 2: Convert to fraction form
    814.37/1,124.21 = 464.99/x
  3. Step 3: Cross multiply
    814.37x = 1,124.21 × 464.99
  4. Step 4: Simplify right side
    814.37x = 522,741.95
  5. Step 5: Solve for x
    x = 522,741.95/814.37
  6. Step 6: Final answer
    x = 641.90

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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.