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Finding the Fourth Proportional to 1,084.26, 1,626.47 and 536.30

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Solution

The fourth proportional to 1,084.26, 1,626.47 and 536.30 is: 804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.26 : 1,626.47 = 536.30 : x
  2. Step 2: Convert to fraction form
    1,084.26/1,626.47 = 536.30/x
  3. Step 3: Cross multiply
    1,084.26x = 1,626.47 × 536.30
  4. Step 4: Simplify right side
    1,084.26x = 872,269.07
  5. Step 5: Solve for x
    x = 872,269.07/1,084.26
  6. Step 6: Final answer
    x = 804.48

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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.