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Finding the Fourth Proportional to 814.53, 1,124.05 and 441.51

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Solution

The fourth proportional to 814.53, 1,124.05 and 441.51 is: 609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.53 : 1,124.05 = 441.51 : x
  2. Step 2: Convert to fraction form
    814.53/1,124.05 = 441.51/x
  3. Step 3: Cross multiply
    814.53x = 1,124.05 × 441.51
  4. Step 4: Simplify right side
    814.53x = 496,275.24
  5. Step 5: Solve for x
    x = 496,275.24/814.53
  6. Step 6: Final answer
    x = 609.28

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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.