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Finding the Fourth Proportional to 1,322.53, 1,983.74 and 335.33

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Solution

The fourth proportional to 1,322.53, 1,983.74 and 335.33 is: 502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.53 : 1,983.74 = 335.33 : x
  2. Step 2: Convert to fraction form
    1,322.53/1,983.74 = 335.33/x
  3. Step 3: Cross multiply
    1,322.53x = 1,983.74 × 335.33
  4. Step 4: Simplify right side
    1,322.53x = 665,207.53
  5. Step 5: Solve for x
    x = 665,207.53/1,322.53
  6. Step 6: Final answer
    x = 502.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.