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Finding the Fourth Proportional to 1,028.77, 1,419.72 and 580.73

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Solution

The fourth proportional to 1,028.77, 1,419.72 and 580.73 is: 801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.77 : 1,419.72 = 580.73 : x
  2. Step 2: Convert to fraction form
    1,028.77/1,419.72 = 580.73/x
  3. Step 3: Cross multiply
    1,028.77x = 1,419.72 × 580.73
  4. Step 4: Simplify right side
    1,028.77x = 824,465.97
  5. Step 5: Solve for x
    x = 824,465.97/1,028.77
  6. Step 6: Final answer
    x = 801.41

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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.