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Finding the Fourth Proportional to 837.17, 1,254.62 and 691.84

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Solution

The fourth proportional to 837.17, 1,254.62 and 691.84 is: 1,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.17 : 1,254.62 = 691.84 : x
  2. Step 2: Convert to fraction form
    837.17/1,254.62 = 691.84/x
  3. Step 3: Cross multiply
    837.17x = 1,254.62 × 691.84
  4. Step 4: Simplify right side
    837.17x = 867,999.60
  5. Step 5: Solve for x
    x = 867,999.60/837.17
  6. Step 6: Final answer
    x = 1,036.83

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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.