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Finding the Fourth Proportional to 1,389.43, 2,085.50 and 773.43

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Solution

The fourth proportional to 1,389.43, 2,085.50 and 773.43 is: 1,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.43 : 2,085.50 = 773.43 : x
  2. Step 2: Convert to fraction form
    1,389.43/2,085.50 = 773.43/x
  3. Step 3: Cross multiply
    1,389.43x = 2,085.50 × 773.43
  4. Step 4: Simplify right side
    1,389.43x = 1,612,973.97
  5. Step 5: Solve for x
    x = 1,612,973.97/1,389.43
  6. Step 6: Final answer
    x = 1,160.89

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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.