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Finding the Fourth Proportional to 864.56, 1,299 and 540.56

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Solution

The fourth proportional to 864.56, 1,299 and 540.56 is: 812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.56 : 1,299 = 540.56 : x
  2. Step 2: Convert to fraction form
    864.56/1,299 = 540.56/x
  3. Step 3: Cross multiply
    864.56x = 1,299 × 540.56
  4. Step 4: Simplify right side
    864.56x = 702,187.44
  5. Step 5: Solve for x
    x = 702,187.44/864.56
  6. Step 6: Final answer
    x = 812.19

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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.