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Finding the Fourth Proportional to 1,322.25, 1,983.36 and 348.36

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Solution

The fourth proportional to 1,322.25, 1,983.36 and 348.36 is: 522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.25 : 1,983.36 = 348.36 : x
  2. Step 2: Convert to fraction form
    1,322.25/1,983.36 = 348.36/x
  3. Step 3: Cross multiply
    1,322.25x = 1,983.36 × 348.36
  4. Step 4: Simplify right side
    1,322.25x = 690,923.29
  5. Step 5: Solve for x
    x = 690,923.29/1,322.25
  6. Step 6: Final answer
    x = 522.54

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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.