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Finding the Fourth Proportional to 738.21, 1,018.94 and 517.22

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Solution

The fourth proportional to 738.21, 1,018.94 and 517.22 is: 713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.21 : 1,018.94 = 517.22 : x
  2. Step 2: Convert to fraction form
    738.21/1,018.94 = 517.22/x
  3. Step 3: Cross multiply
    738.21x = 1,018.94 × 517.22
  4. Step 4: Simplify right side
    738.21x = 527,016.15
  5. Step 5: Solve for x
    x = 527,016.15/738.21
  6. Step 6: Final answer
    x = 713.91

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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.