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Finding the Fourth Proportional to 1,389.44, 2,083.55 and 659.22

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Solution

The fourth proportional to 1,389.44, 2,083.55 and 659.22 is: 988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.44 : 2,083.55 = 659.22 : x
  2. Step 2: Convert to fraction form
    1,389.44/2,083.55 = 659.22/x
  3. Step 3: Cross multiply
    1,389.44x = 2,083.55 × 659.22
  4. Step 4: Simplify right side
    1,389.44x = 1,373,514.53
  5. Step 5: Solve for x
    x = 1,373,514.53/1,389.44
  6. Step 6: Final answer
    x = 988.54

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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.