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Finding the Fourth Proportional to 1,983.56, 2,975.33 and 522.86

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Solution

The fourth proportional to 1,983.56, 2,975.33 and 522.86 is: 784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.56 : 2,975.33 = 522.86 : x
  2. Step 2: Convert to fraction form
    1,983.56/2,975.33 = 522.86/x
  3. Step 3: Cross multiply
    1,983.56x = 2,975.33 × 522.86
  4. Step 4: Simplify right side
    1,983.56x = 1,555,667.47
  5. Step 5: Solve for x
    x = 1,555,667.47/1,983.56
  6. Step 6: Final answer
    x = 784.28

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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.