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Finding the Fourth Proportional to 1,022.03, 1,530.99 and 865.18

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Solution

The fourth proportional to 1,022.03, 1,530.99 and 865.18 is: 1,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.03 : 1,530.99 = 865.18 : x
  2. Step 2: Convert to fraction form
    1,022.03/1,530.99 = 865.18/x
  3. Step 3: Cross multiply
    1,022.03x = 1,530.99 × 865.18
  4. Step 4: Simplify right side
    1,022.03x = 1,324,581.93
  5. Step 5: Solve for x
    x = 1,324,581.93/1,022.03
  6. Step 6: Final answer
    x = 1,296.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.