Home / 728.20-1,004.22-562.14

Finding the Fourth Proportional to 728.20, 1,004.22 and 562.14

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Solution

The fourth proportional to 728.20, 1,004.22 and 562.14 is: 775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.20 : 1,004.22 = 562.14 : x
  2. Step 2: Convert to fraction form
    728.20/1,004.22 = 562.14/x
  3. Step 3: Cross multiply
    728.20x = 1,004.22 × 562.14
  4. Step 4: Simplify right side
    728.20x = 564,512.23
  5. Step 5: Solve for x
    x = 564,512.23/728.20
  6. Step 6: Final answer
    x = 775.22

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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.