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Finding the Fourth Proportional to 1,151.07, 1,725.89 and 493.37

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Solution

The fourth proportional to 1,151.07, 1,725.89 and 493.37 is: 739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.07 : 1,725.89 = 493.37 : x
  2. Step 2: Convert to fraction form
    1,151.07/1,725.89 = 493.37/x
  3. Step 3: Cross multiply
    1,151.07x = 1,725.89 × 493.37
  4. Step 4: Simplify right side
    1,151.07x = 851,504.20
  5. Step 5: Solve for x
    x = 851,504.20/1,151.07
  6. Step 6: Final answer
    x = 739.75

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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.