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Finding the Fourth Proportional to 903.69, 1,361.75 and 744.93

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Solution

The fourth proportional to 903.69, 1,361.75 and 744.93 is: 1,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.69 : 1,361.75 = 744.93 : x
  2. Step 2: Convert to fraction form
    903.69/1,361.75 = 744.93/x
  3. Step 3: Cross multiply
    903.69x = 1,361.75 × 744.93
  4. Step 4: Simplify right side
    903.69x = 1,014,404.70
  5. Step 5: Solve for x
    x = 1,014,404.70/903.69
  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.