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Finding the Fourth Proportional to 739.15, 1,106.39 and 491.86

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Solution

The fourth proportional to 739.15, 1,106.39 and 491.86 is: 736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.15 : 1,106.39 = 491.86 : x
  2. Step 2: Convert to fraction form
    739.15/1,106.39 = 491.86/x
  3. Step 3: Cross multiply
    739.15x = 1,106.39 × 491.86
  4. Step 4: Simplify right side
    739.15x = 544,191.60
  5. Step 5: Solve for x
    x = 544,191.60/739.15
  6. Step 6: Final answer
    x = 736.24

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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.