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Finding the Fourth Proportional to 1,162.27, 1,742.54 and 699.94

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Solution

The fourth proportional to 1,162.27, 1,742.54 and 699.94 is: 1,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.27 : 1,742.54 = 699.94 : x
  2. Step 2: Convert to fraction form
    1,162.27/1,742.54 = 699.94/x
  3. Step 3: Cross multiply
    1,162.27x = 1,742.54 × 699.94
  4. Step 4: Simplify right side
    1,162.27x = 1,219,672.13
  5. Step 5: Solve for x
    x = 1,219,672.13/1,162.27
  6. Step 6: Final answer
    x = 1,049.39

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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.