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Finding the Fourth Proportional to 836.32, 1,153.17 and 537.61

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Solution

The fourth proportional to 836.32, 1,153.17 and 537.61 is: 741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.32 : 1,153.17 = 537.61 : x
  2. Step 2: Convert to fraction form
    836.32/1,153.17 = 537.61/x
  3. Step 3: Cross multiply
    836.32x = 1,153.17 × 537.61
  4. Step 4: Simplify right side
    836.32x = 619,953.49
  5. Step 5: Solve for x
    x = 619,953.49/836.32
  6. Step 6: Final answer
    x = 741.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.