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Finding the Fourth Proportional to 739.19, 1,019.66 and 459.68

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Solution

The fourth proportional to 739.19, 1,019.66 and 459.68 is: 634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.19 : 1,019.66 = 459.68 : x
  2. Step 2: Convert to fraction form
    739.19/1,019.66 = 459.68/x
  3. Step 3: Cross multiply
    739.19x = 1,019.66 × 459.68
  4. Step 4: Simplify right side
    739.19x = 468,709.91
  5. Step 5: Solve for x
    x = 468,709.91/739.19
  6. Step 6: Final answer
    x = 634.08

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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.