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Finding the Fourth Proportional to 836.08, 1,253.24 and 402.32

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Solution

The fourth proportional to 836.08, 1,253.24 and 402.32 is: 603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.08 : 1,253.24 = 402.32 : x
  2. Step 2: Convert to fraction form
    836.08/1,253.24 = 402.32/x
  3. Step 3: Cross multiply
    836.08x = 1,253.24 × 402.32
  4. Step 4: Simplify right side
    836.08x = 504,203.52
  5. Step 5: Solve for x
    x = 504,203.52/836.08
  6. Step 6: Final answer
    x = 603.06

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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.