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Finding the Fourth Proportional to 891.41, 1,337.90 and 746.06

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Solution

The fourth proportional to 891.41, 1,337.90 and 746.06 is: 1,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.41 : 1,337.90 = 746.06 : x
  2. Step 2: Convert to fraction form
    891.41/1,337.90 = 746.06/x
  3. Step 3: Cross multiply
    891.41x = 1,337.90 × 746.06
  4. Step 4: Simplify right side
    891.41x = 998,143.25
  5. Step 5: Solve for x
    x = 998,143.25/891.41
  6. Step 6: Final answer
    x = 1,119.74

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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.