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Finding the Fourth Proportional to 1,322.77, 1,824.28 and 824.89

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Solution

The fourth proportional to 1,322.77, 1,824.28 and 824.89 is: 1,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.77 : 1,824.28 = 824.89 : x
  2. Step 2: Convert to fraction form
    1,322.77/1,824.28 = 824.89/x
  3. Step 3: Cross multiply
    1,322.77x = 1,824.28 × 824.89
  4. Step 4: Simplify right side
    1,322.77x = 1,504,830.33
  5. Step 5: Solve for x
    x = 1,504,830.33/1,322.77
  6. Step 6: Final answer
    x = 1,137.64

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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.