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Finding the Fourth Proportional to 814.79, 1,223.10 and 450.29

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Solution

The fourth proportional to 814.79, 1,223.10 and 450.29 is: 675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.79 : 1,223.10 = 450.29 : x
  2. Step 2: Convert to fraction form
    814.79/1,223.10 = 450.29/x
  3. Step 3: Cross multiply
    814.79x = 1,223.10 × 450.29
  4. Step 4: Simplify right side
    814.79x = 550,752.76
  5. Step 5: Solve for x
    x = 550,752.76/814.79
  6. Step 6: Final answer
    x = 675.94

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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.