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Finding the Fourth Proportional to 1,152.53, 1,728.24 and 494.56

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Solution

The fourth proportional to 1,152.53, 1,728.24 and 494.56 is: 741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.53 : 1,728.24 = 494.56 : x
  2. Step 2: Convert to fraction form
    1,152.53/1,728.24 = 494.56/x
  3. Step 3: Cross multiply
    1,152.53x = 1,728.24 × 494.56
  4. Step 4: Simplify right side
    1,152.53x = 854,708.96
  5. Step 5: Solve for x
    x = 854,708.96/1,152.53
  6. Step 6: Final answer
    x = 741.59

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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.