Home / 1,220.24-1,684.06-723.04

Finding the Fourth Proportional to 1,220.24, 1,684.06 and 723.04

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Solution

The fourth proportional to 1,220.24, 1,684.06 and 723.04 is: 997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.24 : 1,684.06 = 723.04 : x
  2. Step 2: Convert to fraction form
    1,220.24/1,684.06 = 723.04/x
  3. Step 3: Cross multiply
    1,220.24x = 1,684.06 × 723.04
  4. Step 4: Simplify right side
    1,220.24x = 1,217,642.74
  5. Step 5: Solve for x
    x = 1,217,642.74/1,220.24
  6. Step 6: Final answer
    x = 997.87

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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.