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Finding the Fourth Proportional to 1,084.27, 1,627.32 and 468.45

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Solution

The fourth proportional to 1,084.27, 1,627.32 and 468.45 is: 703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.27 : 1,627.32 = 468.45 : x
  2. Step 2: Convert to fraction form
    1,084.27/1,627.32 = 468.45/x
  3. Step 3: Cross multiply
    1,084.27x = 1,627.32 × 468.45
  4. Step 4: Simplify right side
    1,084.27x = 762,318.05
  5. Step 5: Solve for x
    x = 762,318.05/1,084.27
  6. Step 6: Final answer
    x = 703.07

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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.