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Finding the Fourth Proportional to 836.91, 1,254.38 and 288.45

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Solution

The fourth proportional to 836.91, 1,254.38 and 288.45 is: 432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.91 : 1,254.38 = 288.45 : x
  2. Step 2: Convert to fraction form
    836.91/1,254.38 = 288.45/x
  3. Step 3: Cross multiply
    836.91x = 1,254.38 × 288.45
  4. Step 4: Simplify right side
    836.91x = 361,824.47
  5. Step 5: Solve for x
    x = 361,824.47/836.91
  6. Step 6: Final answer
    x = 432.33

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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.