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Finding the Fourth Proportional to 1,134.89, 1,698.83 and 968.84

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Solution

The fourth proportional to 1,134.89, 1,698.83 and 968.84 is: 1,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.89 : 1,698.83 = 968.84 : x
  2. Step 2: Convert to fraction form
    1,134.89/1,698.83 = 968.84/x
  3. Step 3: Cross multiply
    1,134.89x = 1,698.83 × 968.84
  4. Step 4: Simplify right side
    1,134.89x = 1,645,893.86
  5. Step 5: Solve for x
    x = 1,645,893.86/1,134.89
  6. Step 6: Final answer
    x = 1,450.26

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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.