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Finding the Fourth Proportional to 1,322.22, 1,982.82 and 397.50

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Solution

The fourth proportional to 1,322.22, 1,982.82 and 397.50 is: 596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.22 : 1,982.82 = 397.50 : x
  2. Step 2: Convert to fraction form
    1,322.22/1,982.82 = 397.50/x
  3. Step 3: Cross multiply
    1,322.22x = 1,982.82 × 397.50
  4. Step 4: Simplify right side
    1,322.22x = 788,170.95
  5. Step 5: Solve for x
    x = 788,170.95/1,322.22
  6. Step 6: Final answer
    x = 596.10

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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.