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Finding the Fourth Proportional to 987.56, 1,361.17 and 846.62

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Solution

The fourth proportional to 987.56, 1,361.17 and 846.62 is: 1,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.56 : 1,361.17 = 846.62 : x
  2. Step 2: Convert to fraction form
    987.56/1,361.17 = 846.62/x
  3. Step 3: Cross multiply
    987.56x = 1,361.17 × 846.62
  4. Step 4: Simplify right side
    987.56x = 1,152,393.75
  5. Step 5: Solve for x
    x = 1,152,393.75/987.56
  6. Step 6: Final answer
    x = 1,166.91

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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.