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Finding the Fourth Proportional to 836.58, 1,253.99 and 402.82

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Solution

The fourth proportional to 836.58, 1,253.99 and 402.82 is: 603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.58 : 1,253.99 = 402.82 : x
  2. Step 2: Convert to fraction form
    836.58/1,253.99 = 402.82/x
  3. Step 3: Cross multiply
    836.58x = 1,253.99 × 402.82
  4. Step 4: Simplify right side
    836.58x = 505,132.25
  5. Step 5: Solve for x
    x = 505,132.25/836.58
  6. Step 6: Final answer
    x = 603.81

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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.