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Finding the Fourth Proportional to 919.44, 1,377.20 and 735.84

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Solution

The fourth proportional to 919.44, 1,377.20 and 735.84 is: 1,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.44 : 1,377.20 = 735.84 : x
  2. Step 2: Convert to fraction form
    919.44/1,377.20 = 735.84/x
  3. Step 3: Cross multiply
    919.44x = 1,377.20 × 735.84
  4. Step 4: Simplify right side
    919.44x = 1,013,398.85
  5. Step 5: Solve for x
    x = 1,013,398.85/919.44
  6. Step 6: Final answer
    x = 1,102.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.