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Finding the Fourth Proportional to 1,084.57, 1,626.85 and 262.84

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Solution

The fourth proportional to 1,084.57, 1,626.85 and 262.84 is: 394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.57 : 1,626.85 = 262.84 : x
  2. Step 2: Convert to fraction form
    1,084.57/1,626.85 = 262.84/x
  3. Step 3: Cross multiply
    1,084.57x = 1,626.85 × 262.84
  4. Step 4: Simplify right side
    1,084.57x = 427,601.25
  5. Step 5: Solve for x
    x = 427,601.25/1,084.57
  6. Step 6: Final answer
    x = 394.26

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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.