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Finding the Fourth Proportional to 881.26, 1,317.98 and 784.44

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Solution

The fourth proportional to 881.26, 1,317.98 and 784.44 is: 1,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.26 : 1,317.98 = 784.44 : x
  2. Step 2: Convert to fraction form
    881.26/1,317.98 = 784.44/x
  3. Step 3: Cross multiply
    881.26x = 1,317.98 × 784.44
  4. Step 4: Simplify right side
    881.26x = 1,033,878.19
  5. Step 5: Solve for x
    x = 1,033,878.19/881.26
  6. Step 6: Final answer
    x = 1,173.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.