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Finding the Fourth Proportional to 1,085.63, 1,626.60 and 994.55

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Solution

The fourth proportional to 1,085.63, 1,626.60 and 994.55 is: 1,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.63 : 1,626.60 = 994.55 : x
  2. Step 2: Convert to fraction form
    1,085.63/1,626.60 = 994.55/x
  3. Step 3: Cross multiply
    1,085.63x = 1,626.60 × 994.55
  4. Step 4: Simplify right side
    1,085.63x = 1,617,735.03
  5. Step 5: Solve for x
    x = 1,617,735.03/1,085.63
  6. Step 6: Final answer
    x = 1,490.13

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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.