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Finding the Fourth Proportional to 1,028.57, 1,419.07 and 713.75

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Solution

The fourth proportional to 1,028.57, 1,419.07 and 713.75 is: 984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.57 : 1,419.07 = 713.75 : x
  2. Step 2: Convert to fraction form
    1,028.57/1,419.07 = 713.75/x
  3. Step 3: Cross multiply
    1,028.57x = 1,419.07 × 713.75
  4. Step 4: Simplify right side
    1,028.57x = 1,012,857.64
  5. Step 5: Solve for x
    x = 1,012,857.64/1,028.57
  6. Step 6: Final answer
    x = 984.72

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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.