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Finding the Fourth Proportional to 1,983.67, 2,975.47 and 522.83

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Solution

The fourth proportional to 1,983.67, 2,975.47 and 522.83 is: 784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.67 : 2,975.47 = 522.83 : x
  2. Step 2: Convert to fraction form
    1,983.67/2,975.47 = 522.83/x
  3. Step 3: Cross multiply
    1,983.67x = 2,975.47 × 522.83
  4. Step 4: Simplify right side
    1,983.67x = 1,555,664.98
  5. Step 5: Solve for x
    x = 1,555,664.98/1,983.67
  6. Step 6: Final answer
    x = 784.24

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1.5x scale

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.