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Finding the Fourth Proportional to 1,196.49, 1,651.71 and 882.40

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Solution

The fourth proportional to 1,196.49, 1,651.71 and 882.40 is: 1,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.49 : 1,651.71 = 882.40 : x
  2. Step 2: Convert to fraction form
    1,196.49/1,651.71 = 882.40/x
  3. Step 3: Cross multiply
    1,196.49x = 1,651.71 × 882.40
  4. Step 4: Simplify right side
    1,196.49x = 1,457,468.90
  5. Step 5: Solve for x
    x = 1,457,468.90/1,196.49
  6. Step 6: Final answer
    x = 1,218.12

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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.