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Finding the Fourth Proportional to 903.72, 1,361.73 and 744.96

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Solution

The fourth proportional to 903.72, 1,361.73 and 744.96 is: 1,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.72 : 1,361.73 = 744.96 : x
  2. Step 2: Convert to fraction form
    903.72/1,361.73 = 744.96/x
  3. Step 3: Cross multiply
    903.72x = 1,361.73 × 744.96
  4. Step 4: Simplify right side
    903.72x = 1,014,434.38
  5. Step 5: Solve for x
    x = 1,014,434.38/903.72
  6. Step 6: Final answer
    x = 1,122.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.