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Finding the Fourth Proportional to 1,028.56, 1,419.30 and 608.93

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Solution

The fourth proportional to 1,028.56, 1,419.30 and 608.93 is: 840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.56 : 1,419.30 = 608.93 : x
  2. Step 2: Convert to fraction form
    1,028.56/1,419.30 = 608.93/x
  3. Step 3: Cross multiply
    1,028.56x = 1,419.30 × 608.93
  4. Step 4: Simplify right side
    1,028.56x = 864,247.25
  5. Step 5: Solve for x
    x = 864,247.25/1,028.56
  6. Step 6: Final answer
    x = 840.25

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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.