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Finding the Fourth Proportional to 1,150.21, 1,588.05 and 884.18

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Solution

The fourth proportional to 1,150.21, 1,588.05 and 884.18 is: 1,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.21 : 1,588.05 = 884.18 : x
  2. Step 2: Convert to fraction form
    1,150.21/1,588.05 = 884.18/x
  3. Step 3: Cross multiply
    1,150.21x = 1,588.05 × 884.18
  4. Step 4: Simplify right side
    1,150.21x = 1,404,122.05
  5. Step 5: Solve for x
    x = 1,404,122.05/1,150.21
  6. Step 6: Final answer
    x = 1,220.75

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