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Finding the Fourth Proportional to 836.16, 1,253.90 and 288.06

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Solution

The fourth proportional to 836.16, 1,253.90 and 288.06 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.16 : 1,253.90 = 288.06 : x
  2. Step 2: Convert to fraction form
    836.16/1,253.90 = 288.06/x
  3. Step 3: Cross multiply
    836.16x = 1,253.90 × 288.06
  4. Step 4: Simplify right side
    836.16x = 361,198.43
  5. Step 5: Solve for x
    x = 361,198.43/836.16
  6. Step 6: Final answer
    x = 431.97

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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.