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Finding the Fourth Proportional to 1,190.44, 1,784.58 and 573.76

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Solution

The fourth proportional to 1,190.44, 1,784.58 and 573.76 is: 860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.44 : 1,784.58 = 573.76 : x
  2. Step 2: Convert to fraction form
    1,190.44/1,784.58 = 573.76/x
  3. Step 3: Cross multiply
    1,190.44x = 1,784.58 × 573.76
  4. Step 4: Simplify right side
    1,190.44x = 1,023,920.62
  5. Step 5: Solve for x
    x = 1,023,920.62/1,190.44
  6. Step 6: Final answer
    x = 860.12

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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.