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Finding the Fourth Proportional to 757.19, 1,137.80 and 661.94

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Solution

The fourth proportional to 757.19, 1,137.80 and 661.94 is: 994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.19 : 1,137.80 = 661.94 : x
  2. Step 2: Convert to fraction form
    757.19/1,137.80 = 661.94/x
  3. Step 3: Cross multiply
    757.19x = 1,137.80 × 661.94
  4. Step 4: Simplify right side
    757.19x = 753,146.33
  5. Step 5: Solve for x
    x = 753,146.33/757.19
  6. Step 6: Final answer
    x = 994.67

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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.