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Finding the Fourth Proportional to 1,028.44, 1,419.25 and 562.69

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Solution

The fourth proportional to 1,028.44, 1,419.25 and 562.69 is: 776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.44 : 1,419.25 = 562.69 : x
  2. Step 2: Convert to fraction form
    1,028.44/1,419.25 = 562.69/x
  3. Step 3: Cross multiply
    1,028.44x = 1,419.25 × 562.69
  4. Step 4: Simplify right side
    1,028.44x = 798,592.83
  5. Step 5: Solve for x
    x = 798,592.83/1,028.44
  6. Step 6: Final answer
    x = 776.51

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