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Finding the Fourth Proportional to 969.86, 1,455.80 and 855.05

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Solution

The fourth proportional to 969.86, 1,455.80 and 855.05 is: 1,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.86 : 1,455.80 = 855.05 : x
  2. Step 2: Convert to fraction form
    969.86/1,455.80 = 855.05/x
  3. Step 3: Cross multiply
    969.86x = 1,455.80 × 855.05
  4. Step 4: Simplify right side
    969.86x = 1,244,770.24
  5. Step 5: Solve for x
    x = 1,244,770.24/969.86
  6. Step 6: Final answer
    x = 1,283.46

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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.