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Finding the Fourth Proportional to 738.14, 1,018.64 and 443.35

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Solution

The fourth proportional to 738.14, 1,018.64 and 443.35 is: 611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.14 : 1,018.64 = 443.35 : x
  2. Step 2: Convert to fraction form
    738.14/1,018.64 = 443.35/x
  3. Step 3: Cross multiply
    738.14x = 1,018.64 × 443.35
  4. Step 4: Simplify right side
    738.14x = 451,616.43
  5. Step 5: Solve for x
    x = 451,616.43/738.14
  6. Step 6: Final answer
    x = 611.83

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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.