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Finding the Fourth Proportional to 1,084.38, 1,622.79 and 887.10

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Solution

The fourth proportional to 1,084.38, 1,622.79 and 887.10 is: 1,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.38 : 1,622.79 = 887.10 : x
  2. Step 2: Convert to fraction form
    1,084.38/1,622.79 = 887.10/x
  3. Step 3: Cross multiply
    1,084.38x = 1,622.79 × 887.10
  4. Step 4: Simplify right side
    1,084.38x = 1,439,577.01
  5. Step 5: Solve for x
    x = 1,439,577.01/1,084.38
  6. Step 6: Final answer
    x = 1,327.56

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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.