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Finding the Fourth Proportional to 836.16, 1,254.26 and 491.91

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Solution

The fourth proportional to 836.16, 1,254.26 and 491.91 is: 737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.16 : 1,254.26 = 491.91 : x
  2. Step 2: Convert to fraction form
    836.16/1,254.26 = 491.91/x
  3. Step 3: Cross multiply
    836.16x = 1,254.26 × 491.91
  4. Step 4: Simplify right side
    836.16x = 616,983.04
  5. Step 5: Solve for x
    x = 616,983.04/836.16
  6. Step 6: Final answer
    x = 737.88

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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.