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Finding the Fourth Proportional to 881.03, 1,216.59 and 646.30

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Solution

The fourth proportional to 881.03, 1,216.59 and 646.30 is: 892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.03 : 1,216.59 = 646.30 : x
  2. Step 2: Convert to fraction form
    881.03/1,216.59 = 646.30/x
  3. Step 3: Cross multiply
    881.03x = 1,216.59 × 646.30
  4. Step 4: Simplify right side
    881.03x = 786,290.09
  5. Step 5: Solve for x
    x = 786,290.09/881.03
  6. Step 6: Final answer
    x = 892.47

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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.