Home / 1,163.30-1,743.66-460.32

Finding the Fourth Proportional to 1,163.30, 1,743.66 and 460.32

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Solution

The fourth proportional to 1,163.30, 1,743.66 and 460.32 is: 689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.30 : 1,743.66 = 460.32 : x
  2. Step 2: Convert to fraction form
    1,163.30/1,743.66 = 460.32/x
  3. Step 3: Cross multiply
    1,163.30x = 1,743.66 × 460.32
  4. Step 4: Simplify right side
    1,163.30x = 802,641.57
  5. Step 5: Solve for x
    x = 802,641.57/1,163.30
  6. Step 6: Final answer
    x = 689.97

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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.