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Finding the Fourth Proportional to 739.28, 1,109.16 and 392.64

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Solution

The fourth proportional to 739.28, 1,109.16 and 392.64 is: 589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.28 : 1,109.16 = 392.64 : x
  2. Step 2: Convert to fraction form
    739.28/1,109.16 = 392.64/x
  3. Step 3: Cross multiply
    739.28x = 1,109.16 × 392.64
  4. Step 4: Simplify right side
    739.28x = 435,500.58
  5. Step 5: Solve for x
    x = 435,500.58/739.28
  6. Step 6: Final answer
    x = 589.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.