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Finding the Fourth Proportional to 814.79, 1,220.07 and 684.49

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Solution

The fourth proportional to 814.79, 1,220.07 and 684.49 is: 1,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.79 : 1,220.07 = 684.49 : x
  2. Step 2: Convert to fraction form
    814.79/1,220.07 = 684.49/x
  3. Step 3: Cross multiply
    814.79x = 1,220.07 × 684.49
  4. Step 4: Simplify right side
    814.79x = 835,125.71
  5. Step 5: Solve for x
    x = 835,125.71/814.79
  6. Step 6: Final answer
    x = 1,024.96

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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.