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Finding the Fourth Proportional to 1,196.52, 1,652.76 and 882.42

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Solution

The fourth proportional to 1,196.52, 1,652.76 and 882.42 is: 1,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.52 : 1,652.76 = 882.42 : x
  2. Step 2: Convert to fraction form
    1,196.52/1,652.76 = 882.42/x
  3. Step 3: Cross multiply
    1,196.52x = 1,652.76 × 882.42
  4. Step 4: Simplify right side
    1,196.52x = 1,458,428.48
  5. Step 5: Solve for x
    x = 1,458,428.48/1,196.52
  6. Step 6: Final answer
    x = 1,218.89

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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.