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Finding the Fourth Proportional to 919.29, 1,377.72 and 674.67

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Solution

The fourth proportional to 919.29, 1,377.72 and 674.67 is: 1,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.29 : 1,377.72 = 674.67 : x
  2. Step 2: Convert to fraction form
    919.29/1,377.72 = 674.67/x
  3. Step 3: Cross multiply
    919.29x = 1,377.72 × 674.67
  4. Step 4: Simplify right side
    919.29x = 929,506.35
  5. Step 5: Solve for x
    x = 929,506.35/919.29
  6. Step 6: Final answer
    x = 1,011.11

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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.