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Finding the Fourth Proportional to 1,322.92, 1,984.41 and 349.05

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Solution

The fourth proportional to 1,322.92, 1,984.41 and 349.05 is: 523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.92 : 1,984.41 = 349.05 : x
  2. Step 2: Convert to fraction form
    1,322.92/1,984.41 = 349.05/x
  3. Step 3: Cross multiply
    1,322.92x = 1,984.41 × 349.05
  4. Step 4: Simplify right side
    1,322.92x = 692,658.31
  5. Step 5: Solve for x
    x = 692,658.31/1,322.92
  6. Step 6: Final answer
    x = 523.58

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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.