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Finding the Fourth Proportional to 1,163.57, 1,742.31 and 676.35

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Solution

The fourth proportional to 1,163.57, 1,742.31 and 676.35 is: 1,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.57 : 1,742.31 = 676.35 : x
  2. Step 2: Convert to fraction form
    1,163.57/1,742.31 = 676.35/x
  3. Step 3: Cross multiply
    1,163.57x = 1,742.31 × 676.35
  4. Step 4: Simplify right side
    1,163.57x = 1,178,411.37
  5. Step 5: Solve for x
    x = 1,178,411.37/1,163.57
  6. Step 6: Final answer
    x = 1,012.76

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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.