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Finding the Fourth Proportional to 836.49, 1,254.47 and 288.56

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Solution

The fourth proportional to 836.49, 1,254.47 and 288.56 is: 432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.49 : 1,254.47 = 288.56 : x
  2. Step 2: Convert to fraction form
    836.49/1,254.47 = 288.56/x
  3. Step 3: Cross multiply
    836.49x = 1,254.47 × 288.56
  4. Step 4: Simplify right side
    836.49x = 361,982.15
  5. Step 5: Solve for x
    x = 361,982.15/836.49
  6. Step 6: Final answer
    x = 432.74

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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.