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Finding the Fourth Proportional to 1,028.84, 1,419.78 and 563.08

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Solution

The fourth proportional to 1,028.84, 1,419.78 and 563.08 is: 777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.84 : 1,419.78 = 563.08 : x
  2. Step 2: Convert to fraction form
    1,028.84/1,419.78 = 563.08/x
  3. Step 3: Cross multiply
    1,028.84x = 1,419.78 × 563.08
  4. Step 4: Simplify right side
    1,028.84x = 799,449.72
  5. Step 5: Solve for x
    x = 799,449.72/1,028.84
  6. Step 6: Final answer
    x = 777.04

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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.