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Finding the Fourth Proportional to 739.70, 1,110.45 and 374.30

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Solution

The fourth proportional to 739.70, 1,110.45 and 374.30 is: 561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.70 : 1,110.45 = 374.30 : x
  2. Step 2: Convert to fraction form
    739.70/1,110.45 = 374.30/x
  3. Step 3: Cross multiply
    739.70x = 1,110.45 × 374.30
  4. Step 4: Simplify right side
    739.70x = 415,641.44
  5. Step 5: Solve for x
    x = 415,641.44/739.70
  6. Step 6: Final answer
    x = 561.91

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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.