Home / 1,028.46-1,419.24-562.70

Finding the Fourth Proportional to 1,028.46, 1,419.24 and 562.70

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Solution

The fourth proportional to 1,028.46, 1,419.24 and 562.70 is: 776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.46 : 1,419.24 = 562.70 : x
  2. Step 2: Convert to fraction form
    1,028.46/1,419.24 = 562.70/x
  3. Step 3: Cross multiply
    1,028.46x = 1,419.24 × 562.70
  4. Step 4: Simplify right side
    1,028.46x = 798,606.35
  5. Step 5: Solve for x
    x = 798,606.35/1,028.46
  6. Step 6: Final answer
    x = 776.51

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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.