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Finding the Fourth Proportional to 1,084.17, 1,626.69 and 536.34

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Solution

The fourth proportional to 1,084.17, 1,626.69 and 536.34 is: 804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.17 : 1,626.69 = 536.34 : x
  2. Step 2: Convert to fraction form
    1,084.17/1,626.69 = 536.34/x
  3. Step 3: Cross multiply
    1,084.17x = 1,626.69 × 536.34
  4. Step 4: Simplify right side
    1,084.17x = 872,458.91
  5. Step 5: Solve for x
    x = 872,458.91/1,084.17
  6. Step 6: Final answer
    x = 804.73

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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.