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Finding the Fourth Proportional to 1,196.50, 1,650.74 and 754.24

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Solution

The fourth proportional to 1,196.50, 1,650.74 and 754.24 is: 1,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.50 : 1,650.74 = 754.24 : x
  2. Step 2: Convert to fraction form
    1,196.50/1,650.74 = 754.24/x
  3. Step 3: Cross multiply
    1,196.50x = 1,650.74 × 754.24
  4. Step 4: Simplify right side
    1,196.50x = 1,245,054.14
  5. Step 5: Solve for x
    x = 1,245,054.14/1,196.50
  6. Step 6: Final answer
    x = 1,040.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.