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Finding the Fourth Proportional to 1,322.14, 1,983.75 and 445

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Solution

The fourth proportional to 1,322.14, 1,983.75 and 445 is: 667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.14 : 1,983.75 = 445 : x
  2. Step 2: Convert to fraction form
    1,322.14/1,983.75 = 445/x
  3. Step 3: Cross multiply
    1,322.14x = 1,983.75 × 445
  4. Step 4: Simplify right side
    1,322.14x = 882,768.75
  5. Step 5: Solve for x
    x = 882,768.75/1,322.14
  6. Step 6: Final answer
    x = 667.68

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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.