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Finding the Fourth Proportional to 920.44, 1,378.70 and 736.84

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Solution

The fourth proportional to 920.44, 1,378.70 and 736.84 is: 1,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.44 : 1,378.70 = 736.84 : x
  2. Step 2: Convert to fraction form
    920.44/1,378.70 = 736.84/x
  3. Step 3: Cross multiply
    920.44x = 1,378.70 × 736.84
  4. Step 4: Simplify right side
    920.44x = 1,015,881.31
  5. Step 5: Solve for x
    x = 1,015,881.31/920.44
  6. Step 6: Final answer
    x = 1,103.69

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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.