Home / 1,233.20-1,701.78-709.22

Finding the Fourth Proportional to 1,233.20, 1,701.78 and 709.22

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Solution

The fourth proportional to 1,233.20, 1,701.78 and 709.22 is: 978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.20 : 1,701.78 = 709.22 : x
  2. Step 2: Convert to fraction form
    1,233.20/1,701.78 = 709.22/x
  3. Step 3: Cross multiply
    1,233.20x = 1,701.78 × 709.22
  4. Step 4: Simplify right side
    1,233.20x = 1,206,936.41
  5. Step 5: Solve for x
    x = 1,206,936.41/1,233.20
  6. Step 6: Final answer
    x = 978.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.