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Finding the Fourth Proportional to 987.21, 1,480.82 and 927.07

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Solution

The fourth proportional to 987.21, 1,480.82 and 927.07 is: 1,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.21 : 1,480.82 = 927.07 : x
  2. Step 2: Convert to fraction form
    987.21/1,480.82 = 927.07/x
  3. Step 3: Cross multiply
    987.21x = 1,480.82 × 927.07
  4. Step 4: Simplify right side
    987.21x = 1,372,823.80
  5. Step 5: Solve for x
    x = 1,372,823.80/987.21
  6. Step 6: Final answer
    x = 1,390.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.