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Finding the Fourth Proportional to 1,216.28, 1,681.13 and 887.02

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Solution

The fourth proportional to 1,216.28, 1,681.13 and 887.02 is: 1,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.28 : 1,681.13 = 887.02 : x
  2. Step 2: Convert to fraction form
    1,216.28/1,681.13 = 887.02/x
  3. Step 3: Cross multiply
    1,216.28x = 1,681.13 × 887.02
  4. Step 4: Simplify right side
    1,216.28x = 1,491,193.95
  5. Step 5: Solve for x
    x = 1,491,193.95/1,216.28
  6. Step 6: Final answer
    x = 1,226.03

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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.