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Finding the Fourth Proportional to 814.70, 1,222.05 and 523.10

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Solution

The fourth proportional to 814.70, 1,222.05 and 523.10 is: 784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.70 : 1,222.05 = 523.10 : x
  2. Step 2: Convert to fraction form
    814.70/1,222.05 = 523.10/x
  3. Step 3: Cross multiply
    814.70x = 1,222.05 × 523.10
  4. Step 4: Simplify right side
    814.70x = 639,254.36
  5. Step 5: Solve for x
    x = 639,254.36/814.70
  6. Step 6: Final answer
    x = 784.65

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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.