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Finding the Fourth Proportional to 836.05, 1,253.65 and 288.07

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Solution

The fourth proportional to 836.05, 1,253.65 and 288.07 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.05 : 1,253.65 = 288.07 : x
  2. Step 2: Convert to fraction form
    836.05/1,253.65 = 288.07/x
  3. Step 3: Cross multiply
    836.05x = 1,253.65 × 288.07
  4. Step 4: Simplify right side
    836.05x = 361,138.96
  5. Step 5: Solve for x
    x = 361,138.96/836.05
  6. Step 6: Final answer
    x = 431.96

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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.