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Finding the Fourth Proportional to 881.08, 1,209.44 and 780.64

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Solution

The fourth proportional to 881.08, 1,209.44 and 780.64 is: 1,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.08 : 1,209.44 = 780.64 : x
  2. Step 2: Convert to fraction form
    881.08/1,209.44 = 780.64/x
  3. Step 3: Cross multiply
    881.08x = 1,209.44 × 780.64
  4. Step 4: Simplify right side
    881.08x = 944,137.24
  5. Step 5: Solve for x
    x = 944,137.24/881.08
  6. Step 6: Final answer
    x = 1,071.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.