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Finding the Fourth Proportional to 1,190.30, 1,785.75 and 961.27

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Solution

The fourth proportional to 1,190.30, 1,785.75 and 961.27 is: 1,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.30 : 1,785.75 = 961.27 : x
  2. Step 2: Convert to fraction form
    1,190.30/1,785.75 = 961.27/x
  3. Step 3: Cross multiply
    1,190.30x = 1,785.75 × 961.27
  4. Step 4: Simplify right side
    1,190.30x = 1,716,587.90
  5. Step 5: Solve for x
    x = 1,716,587.90/1,190.30
  6. Step 6: Final answer
    x = 1,442.15

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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.