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Finding the Fourth Proportional to 1,189.72, 1,784.03 and 495.97

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Solution

The fourth proportional to 1,189.72, 1,784.03 and 495.97 is: 743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.72 : 1,784.03 = 495.97 : x
  2. Step 2: Convert to fraction form
    1,189.72/1,784.03 = 495.97/x
  3. Step 3: Cross multiply
    1,189.72x = 1,784.03 × 495.97
  4. Step 4: Simplify right side
    1,189.72x = 884,818.42
  5. Step 5: Solve for x
    x = 884,818.42/1,189.72
  6. Step 6: Final answer
    x = 743.72

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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.