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Finding the Fourth Proportional to 736.37, 1,105.25 and 719.52

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Solution

The fourth proportional to 736.37, 1,105.25 and 719.52 is: 1,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.37 : 1,105.25 = 719.52 : x
  2. Step 2: Convert to fraction form
    736.37/1,105.25 = 719.52/x
  3. Step 3: Cross multiply
    736.37x = 1,105.25 × 719.52
  4. Step 4: Simplify right side
    736.37x = 795,241.74
  5. Step 5: Solve for x
    x = 795,241.74/736.37
  6. Step 6: Final answer
    x = 1,079.95

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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.