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Finding the Fourth Proportional to 1,215.76, 1,676.28 and 1,076.44

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Solution

The fourth proportional to 1,215.76, 1,676.28 and 1,076.44 is: 1,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.76 : 1,676.28 = 1,076.44 : x
  2. Step 2: Convert to fraction form
    1,215.76/1,676.28 = 1,076.44/x
  3. Step 3: Cross multiply
    1,215.76x = 1,676.28 × 1,076.44
  4. Step 4: Simplify right side
    1,215.76x = 1,804,414.84
  5. Step 5: Solve for x
    x = 1,804,414.84/1,215.76
  6. Step 6: Final answer
    x = 1,484.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.