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Finding the Fourth Proportional to 1,194.24, 1,788.72 and 918.30

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Solution

The fourth proportional to 1,194.24, 1,788.72 and 918.30 is: 1,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.24 : 1,788.72 = 918.30 : x
  2. Step 2: Convert to fraction form
    1,194.24/1,788.72 = 918.30/x
  3. Step 3: Cross multiply
    1,194.24x = 1,788.72 × 918.30
  4. Step 4: Simplify right side
    1,194.24x = 1,642,581.58
  5. Step 5: Solve for x
    x = 1,642,581.58/1,194.24
  6. Step 6: Final answer
    x = 1,375.42

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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.