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Finding the Fourth Proportional to 1,191.30, 1,786.18 and 573.78

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Solution

The fourth proportional to 1,191.30, 1,786.18 and 573.78 is: 860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.30 : 1,786.18 = 573.78 : x
  2. Step 2: Convert to fraction form
    1,191.30/1,786.18 = 573.78/x
  3. Step 3: Cross multiply
    1,191.30x = 1,786.18 × 573.78
  4. Step 4: Simplify right side
    1,191.30x = 1,024,874.36
  5. Step 5: Solve for x
    x = 1,024,874.36/1,191.30
  6. Step 6: Final answer
    x = 860.30

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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.