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Finding the Fourth Proportional to 1,189.56, 1,784.28 and 496.08

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Solution

The fourth proportional to 1,189.56, 1,784.28 and 496.08 is: 744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.56 : 1,784.28 = 496.08 : x
  2. Step 2: Convert to fraction form
    1,189.56/1,784.28 = 496.08/x
  3. Step 3: Cross multiply
    1,189.56x = 1,784.28 × 496.08
  4. Step 4: Simplify right side
    1,189.56x = 885,145.62
  5. Step 5: Solve for x
    x = 885,145.62/1,189.56
  6. Step 6: Final answer
    x = 744.09

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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.