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Finding the Fourth Proportional to 1,084.06, 1,626.06 and 536.59

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Solution

The fourth proportional to 1,084.06, 1,626.06 and 536.59 is: 804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.06 : 1,626.06 = 536.59 : x
  2. Step 2: Convert to fraction form
    1,084.06/1,626.06 = 536.59/x
  3. Step 3: Cross multiply
    1,084.06x = 1,626.06 × 536.59
  4. Step 4: Simplify right side
    1,084.06x = 872,527.54
  5. Step 5: Solve for x
    x = 872,527.54/1,084.06
  6. Step 6: Final answer
    x = 804.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.