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Finding the Fourth Proportional to 1,028.81, 1,419.65 and 609.18

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Solution

The fourth proportional to 1,028.81, 1,419.65 and 609.18 is: 840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.81 : 1,419.65 = 609.18 : x
  2. Step 2: Convert to fraction form
    1,028.81/1,419.65 = 609.18/x
  3. Step 3: Cross multiply
    1,028.81x = 1,419.65 × 609.18
  4. Step 4: Simplify right side
    1,028.81x = 864,812.24
  5. Step 5: Solve for x
    x = 864,812.24/1,028.81
  6. Step 6: Final answer
    x = 840.59

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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.