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Finding the Fourth Proportional to 738.96, 1,019.68 and 444.21

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Solution

The fourth proportional to 738.96, 1,019.68 and 444.21 is: 612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.96 : 1,019.68 = 444.21 : x
  2. Step 2: Convert to fraction form
    738.96/1,019.68 = 444.21/x
  3. Step 3: Cross multiply
    738.96x = 1,019.68 × 444.21
  4. Step 4: Simplify right side
    738.96x = 452,952.05
  5. Step 5: Solve for x
    x = 452,952.05/738.96
  6. Step 6: Final answer
    x = 612.96

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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.