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Finding the Fourth Proportional to 1,028.28, 1,419.04 and 562.54

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Solution

The fourth proportional to 1,028.28, 1,419.04 and 562.54 is: 776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.28 : 1,419.04 = 562.54 : x
  2. Step 2: Convert to fraction form
    1,028.28/1,419.04 = 562.54/x
  3. Step 3: Cross multiply
    1,028.28x = 1,419.04 × 562.54
  4. Step 4: Simplify right side
    1,028.28x = 798,266.76
  5. Step 5: Solve for x
    x = 798,266.76/1,028.28
  6. Step 6: Final answer
    x = 776.31

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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.