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Finding the Fourth Proportional to 1,323.41, 1,983.80 and 663.27

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Solution

The fourth proportional to 1,323.41, 1,983.80 and 663.27 is: 994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.41 : 1,983.80 = 663.27 : x
  2. Step 2: Convert to fraction form
    1,323.41/1,983.80 = 663.27/x
  3. Step 3: Cross multiply
    1,323.41x = 1,983.80 × 663.27
  4. Step 4: Simplify right side
    1,323.41x = 1,315,796.67
  5. Step 5: Solve for x
    x = 1,315,796.67/1,323.41
  6. Step 6: Final answer
    x = 994.25

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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.