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Finding the Fourth Proportional to 835.62, 1,154.04 and 744

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Solution

The fourth proportional to 835.62, 1,154.04 and 744 is: 1,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.62 : 1,154.04 = 744 : x
  2. Step 2: Convert to fraction form
    835.62/1,154.04 = 744/x
  3. Step 3: Cross multiply
    835.62x = 1,154.04 × 744
  4. Step 4: Simplify right side
    835.62x = 858,605.76
  5. Step 5: Solve for x
    x = 858,605.76/835.62
  6. Step 6: Final answer
    x = 1,027.51

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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.