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Finding the Fourth Proportional to 1,452.78, 2,004.82 and 789.63

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Solution

The fourth proportional to 1,452.78, 2,004.82 and 789.63 is: 1,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.78 : 2,004.82 = 789.63 : x
  2. Step 2: Convert to fraction form
    1,452.78/2,004.82 = 789.63/x
  3. Step 3: Cross multiply
    1,452.78x = 2,004.82 × 789.63
  4. Step 4: Simplify right side
    1,452.78x = 1,583,066.02
  5. Step 5: Solve for x
    x = 1,583,066.02/1,452.78
  6. Step 6: Final answer
    x = 1,089.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.