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Finding the Fourth Proportional to 1,162.87, 1,743.79 and 836.88

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Solution

The fourth proportional to 1,162.87, 1,743.79 and 836.88 is: 1,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.87 : 1,743.79 = 836.88 : x
  2. Step 2: Convert to fraction form
    1,162.87/1,743.79 = 836.88/x
  3. Step 3: Cross multiply
    1,162.87x = 1,743.79 × 836.88
  4. Step 4: Simplify right side
    1,162.87x = 1,459,342.98
  5. Step 5: Solve for x
    x = 1,459,342.98/1,162.87
  6. Step 6: Final answer
    x = 1,254.95

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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.