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Finding the Fourth Proportional to 895.36, 1,343.44 and 880.78

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Solution

The fourth proportional to 895.36, 1,343.44 and 880.78 is: 1,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.36 : 1,343.44 = 880.78 : x
  2. Step 2: Convert to fraction form
    895.36/1,343.44 = 880.78/x
  3. Step 3: Cross multiply
    895.36x = 1,343.44 × 880.78
  4. Step 4: Simplify right side
    895.36x = 1,183,275.08
  5. Step 5: Solve for x
    x = 1,183,275.08/895.36
  6. Step 6: Final answer
    x = 1,321.56

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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.