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Finding the Fourth Proportional to 832.34, 1,247.74 and 523.26

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Solution

The fourth proportional to 832.34, 1,247.74 and 523.26 is: 784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.34 : 1,247.74 = 523.26 : x
  2. Step 2: Convert to fraction form
    832.34/1,247.74 = 523.26/x
  3. Step 3: Cross multiply
    832.34x = 1,247.74 × 523.26
  4. Step 4: Simplify right side
    832.34x = 652,892.43
  5. Step 5: Solve for x
    x = 652,892.43/832.34
  6. Step 6: Final answer
    x = 784.41

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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.