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Finding the Fourth Proportional to 814.32, 1,222.62 and 523.08

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Solution

The fourth proportional to 814.32, 1,222.62 and 523.08 is: 785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.32 : 1,222.62 = 523.08 : x
  2. Step 2: Convert to fraction form
    814.32/1,222.62 = 523.08/x
  3. Step 3: Cross multiply
    814.32x = 1,222.62 × 523.08
  4. Step 4: Simplify right side
    814.32x = 639,528.07
  5. Step 5: Solve for x
    x = 639,528.07/814.32
  6. Step 6: Final answer
    x = 785.35

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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.