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Finding the Fourth Proportional to 1,322.21, 1,823.15 and 989.57

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Solution

The fourth proportional to 1,322.21, 1,823.15 and 989.57 is: 1,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.21 : 1,823.15 = 989.57 : x
  2. Step 2: Convert to fraction form
    1,322.21/1,823.15 = 989.57/x
  3. Step 3: Cross multiply
    1,322.21x = 1,823.15 × 989.57
  4. Step 4: Simplify right side
    1,322.21x = 1,804,134.55
  5. Step 5: Solve for x
    x = 1,804,134.55/1,322.21
  6. Step 6: Final answer
    x = 1,364.48

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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.