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Finding the Fourth Proportional to 1,650.78, 2,476.16 and 676.89

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Solution

The fourth proportional to 1,650.78, 2,476.16 and 676.89 is: 1,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.78 : 2,476.16 = 676.89 : x
  2. Step 2: Convert to fraction form
    1,650.78/2,476.16 = 676.89/x
  3. Step 3: Cross multiply
    1,650.78x = 2,476.16 × 676.89
  4. Step 4: Simplify right side
    1,650.78x = 1,676,087.94
  5. Step 5: Solve for x
    x = 1,676,087.94/1,650.78
  6. Step 6: Final answer
    x = 1,015.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.