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Finding the Fourth Proportional to 886.94, 1,331.59 and 757.77

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Solution

The fourth proportional to 886.94, 1,331.59 and 757.77 is: 1,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.94 : 1,331.59 = 757.77 : x
  2. Step 2: Convert to fraction form
    886.94/1,331.59 = 757.77/x
  3. Step 3: Cross multiply
    886.94x = 1,331.59 × 757.77
  4. Step 4: Simplify right side
    886.94x = 1,009,035.17
  5. Step 5: Solve for x
    x = 1,009,035.17/886.94
  6. Step 6: Final answer
    x = 1,137.67

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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.