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Finding the Fourth Proportional to 1,084.51, 1,622.98 and 887.23

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Solution

The fourth proportional to 1,084.51, 1,622.98 and 887.23 is: 1,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.51 : 1,622.98 = 887.23 : x
  2. Step 2: Convert to fraction form
    1,084.51/1,622.98 = 887.23/x
  3. Step 3: Cross multiply
    1,084.51x = 1,622.98 × 887.23
  4. Step 4: Simplify right side
    1,084.51x = 1,439,946.21
  5. Step 5: Solve for x
    x = 1,439,946.21/1,084.51
  6. Step 6: Final answer
    x = 1,327.75

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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.