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Finding the Fourth Proportional to 1,322.77, 1,824.63 and 825.02

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Solution

The fourth proportional to 1,322.77, 1,824.63 and 825.02 is: 1,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.77 : 1,824.63 = 825.02 : x
  2. Step 2: Convert to fraction form
    1,322.77/1,824.63 = 825.02/x
  3. Step 3: Cross multiply
    1,322.77x = 1,824.63 × 825.02
  4. Step 4: Simplify right side
    1,322.77x = 1,505,356.24
  5. Step 5: Solve for x
    x = 1,505,356.24/1,322.77
  6. Step 6: Final answer
    x = 1,138.04

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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.