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Finding the Fourth Proportional to 739.35, 1,102.32 and 720.11

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Solution

The fourth proportional to 739.35, 1,102.32 and 720.11 is: 1,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.35 : 1,102.32 = 720.11 : x
  2. Step 2: Convert to fraction form
    739.35/1,102.32 = 720.11/x
  3. Step 3: Cross multiply
    739.35x = 1,102.32 × 720.11
  4. Step 4: Simplify right side
    739.35x = 793,794.41
  5. Step 5: Solve for x
    x = 793,794.41/739.35
  6. Step 6: Final answer
    x = 1,073.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.