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Finding the Fourth Proportional to 739.63, 1,109.45 and 353.71

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Solution

The fourth proportional to 739.63, 1,109.45 and 353.71 is: 530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.63 : 1,109.45 = 353.71 : x
  2. Step 2: Convert to fraction form
    739.63/1,109.45 = 353.71/x
  3. Step 3: Cross multiply
    739.63x = 1,109.45 × 353.71
  4. Step 4: Simplify right side
    739.63x = 392,423.56
  5. Step 5: Solve for x
    x = 392,423.56/739.63
  6. Step 6: Final answer
    x = 530.57

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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.