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Finding the Fourth Proportional to 1,028.79, 1,419.75 and 563.04

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Solution

The fourth proportional to 1,028.79, 1,419.75 and 563.04 is: 777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.79 : 1,419.75 = 563.04 : x
  2. Step 2: Convert to fraction form
    1,028.79/1,419.75 = 563.04/x
  3. Step 3: Cross multiply
    1,028.79x = 1,419.75 × 563.04
  4. Step 4: Simplify right side
    1,028.79x = 799,376.04
  5. Step 5: Solve for x
    x = 799,376.04/1,028.79
  6. Step 6: Final answer
    x = 777.01

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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.