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Finding the Fourth Proportional to 814.06, 1,223.34 and 506.08

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Solution

The fourth proportional to 814.06, 1,223.34 and 506.08 is: 760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.06 : 1,223.34 = 506.08 : x
  2. Step 2: Convert to fraction form
    814.06/1,223.34 = 506.08/x
  3. Step 3: Cross multiply
    814.06x = 1,223.34 × 506.08
  4. Step 4: Simplify right side
    814.06x = 619,107.91
  5. Step 5: Solve for x
    x = 619,107.91/814.06
  6. Step 6: Final answer
    x = 760.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.