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Finding the Fourth Proportional to 1,196.85, 1,651.37 and 882.35

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Solution

The fourth proportional to 1,196.85, 1,651.37 and 882.35 is: 1,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.85 : 1,651.37 = 882.35 : x
  2. Step 2: Convert to fraction form
    1,196.85/1,651.37 = 882.35/x
  3. Step 3: Cross multiply
    1,196.85x = 1,651.37 × 882.35
  4. Step 4: Simplify right side
    1,196.85x = 1,457,086.32
  5. Step 5: Solve for x
    x = 1,457,086.32/1,196.85
  6. Step 6: Final answer
    x = 1,217.43

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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.