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Finding the Fourth Proportional to 1,189.41, 1,784.57 and 495.89

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Solution

The fourth proportional to 1,189.41, 1,784.57 and 495.89 is: 744.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.41 : 1,784.57 = 495.89 : x
  2. Step 2: Convert to fraction form
    1,189.41/1,784.57 = 495.89/x
  3. Step 3: Cross multiply
    1,189.41x = 1,784.57 × 495.89
  4. Step 4: Simplify right side
    1,189.41x = 884,950.42
  5. Step 5: Solve for x
    x = 884,950.42/1,189.41
  6. Step 6: Final answer
    x = 744.02

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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.