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Finding the Fourth Proportional to 1,322.25, 1,983.44 and 348.36

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Solution

The fourth proportional to 1,322.25, 1,983.44 and 348.36 is: 522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.25 : 1,983.44 = 348.36 : x
  2. Step 2: Convert to fraction form
    1,322.25/1,983.44 = 348.36/x
  3. Step 3: Cross multiply
    1,322.25x = 1,983.44 × 348.36
  4. Step 4: Simplify right side
    1,322.25x = 690,951.16
  5. Step 5: Solve for x
    x = 690,951.16/1,322.25
  6. Step 6: Final answer
    x = 522.56

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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.