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Finding the Fourth Proportional to 544.11, 814.23 and 512.93

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Solution

The fourth proportional to 544.11, 814.23 and 512.93 is: 767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.11 : 814.23 = 512.93 : x
  2. Step 2: Convert to fraction form
    544.11/814.23 = 512.93/x
  3. Step 3: Cross multiply
    544.11x = 814.23 × 512.93
  4. Step 4: Simplify right side
    544.11x = 417,642.99
  5. Step 5: Solve for x
    x = 417,642.99/544.11
  6. Step 6: Final answer
    x = 767.57

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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.