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Finding the Fourth Proportional to 987.33, 1,361.73 and 613.61

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Solution

The fourth proportional to 987.33, 1,361.73 and 613.61 is: 846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.33 : 1,361.73 = 613.61 : x
  2. Step 2: Convert to fraction form
    987.33/1,361.73 = 613.61/x
  3. Step 3: Cross multiply
    987.33x = 1,361.73 × 613.61
  4. Step 4: Simplify right side
    987.33x = 835,568.29
  5. Step 5: Solve for x
    x = 835,568.29/987.33
  6. Step 6: Final answer
    x = 846.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.