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Finding the Fourth Proportional to 1,322.22, 1,824.67 and 732.76

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Solution

The fourth proportional to 1,322.22, 1,824.67 and 732.76 is: 1,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.22 : 1,824.67 = 732.76 : x
  2. Step 2: Convert to fraction form
    1,322.22/1,824.67 = 732.76/x
  3. Step 3: Cross multiply
    1,322.22x = 1,824.67 × 732.76
  4. Step 4: Simplify right side
    1,322.22x = 1,337,043.36
  5. Step 5: Solve for x
    x = 1,337,043.36/1,322.22
  6. Step 6: Final answer
    x = 1,011.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.