Home / 1,033.39-1,546.62-724.51

Finding the Fourth Proportional to 1,033.39, 1,546.62 and 724.51

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Solution

The fourth proportional to 1,033.39, 1,546.62 and 724.51 is: 1,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.39 : 1,546.62 = 724.51 : x
  2. Step 2: Convert to fraction form
    1,033.39/1,546.62 = 724.51/x
  3. Step 3: Cross multiply
    1,033.39x = 1,546.62 × 724.51
  4. Step 4: Simplify right side
    1,033.39x = 1,120,541.66
  5. Step 5: Solve for x
    x = 1,120,541.66/1,033.39
  6. Step 6: Final answer
    x = 1,084.34

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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.