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Finding the Fourth Proportional to 1,196.75, 1,786.70 and 1,023.48

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Solution

The fourth proportional to 1,196.75, 1,786.70 and 1,023.48 is: 1,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.75 : 1,786.70 = 1,023.48 : x
  2. Step 2: Convert to fraction form
    1,196.75/1,786.70 = 1,023.48/x
  3. Step 3: Cross multiply
    1,196.75x = 1,786.70 × 1,023.48
  4. Step 4: Simplify right side
    1,196.75x = 1,828,651.72
  5. Step 5: Solve for x
    x = 1,828,651.72/1,196.75
  6. Step 6: Final answer
    x = 1,528.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.