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Finding the Fourth Proportional to 987, 1,361.98 and 544.82

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Solution

The fourth proportional to 987, 1,361.98 and 544.82 is: 751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    987 : 1,361.98 = 544.82 : x
  2. Step 2: Convert to fraction form
    987/1,361.98 = 544.82/x
  3. Step 3: Cross multiply
    987x = 1,361.98 × 544.82
  4. Step 4: Simplify right side
    987x = 742,033.94
  5. Step 5: Solve for x
    x = 742,033.94/987
  6. Step 6: Final answer
    x = 751.81

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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.