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Finding the Fourth Proportional to 1,215.27, 1,676.58 and 882.96

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Solution

The fourth proportional to 1,215.27, 1,676.58 and 882.96 is: 1,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.27 : 1,676.58 = 882.96 : x
  2. Step 2: Convert to fraction form
    1,215.27/1,676.58 = 882.96/x
  3. Step 3: Cross multiply
    1,215.27x = 1,676.58 × 882.96
  4. Step 4: Simplify right side
    1,215.27x = 1,480,353.08
  5. Step 5: Solve for x
    x = 1,480,353.08/1,215.27
  6. Step 6: Final answer
    x = 1,218.13

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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.