Home / 1,322.38-1,981.30-706.38

Finding the Fourth Proportional to 1,322.38, 1,981.30 and 706.38

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Solution

The fourth proportional to 1,322.38, 1,981.30 and 706.38 is: 1,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.38 : 1,981.30 = 706.38 : x
  2. Step 2: Convert to fraction form
    1,322.38/1,981.30 = 706.38/x
  3. Step 3: Cross multiply
    1,322.38x = 1,981.30 × 706.38
  4. Step 4: Simplify right side
    1,322.38x = 1,399,550.69
  5. Step 5: Solve for x
    x = 1,399,550.69/1,322.38
  6. Step 6: Final answer
    x = 1,058.36

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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.