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Finding the Fourth Proportional to 1,983.47, 2,975.09 and 596.78

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Solution

The fourth proportional to 1,983.47, 2,975.09 and 596.78 is: 895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.47 : 2,975.09 = 596.78 : x
  2. Step 2: Convert to fraction form
    1,983.47/2,975.09 = 596.78/x
  3. Step 3: Cross multiply
    1,983.47x = 2,975.09 × 596.78
  4. Step 4: Simplify right side
    1,983.47x = 1,775,456.35
  5. Step 5: Solve for x
    x = 1,775,456.35/1,983.47
  6. Step 6: Final answer
    x = 895.13

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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.