Home / 1,163.92-1,743.57-701.83

Finding the Fourth Proportional to 1,163.92, 1,743.57 and 701.83

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Solution

The fourth proportional to 1,163.92, 1,743.57 and 701.83 is: 1,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.92 : 1,743.57 = 701.83 : x
  2. Step 2: Convert to fraction form
    1,163.92/1,743.57 = 701.83/x
  3. Step 3: Cross multiply
    1,163.92x = 1,743.57 × 701.83
  4. Step 4: Simplify right side
    1,163.92x = 1,223,689.73
  5. Step 5: Solve for x
    x = 1,223,689.73/1,163.92
  6. Step 6: Final answer
    x = 1,051.35

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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.