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Finding the Fourth Proportional to 676.00, 1,013.79 and 351.19

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Solution

The fourth proportional to 676.00, 1,013.79 and 351.19 is: 526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.00 : 1,013.79 = 351.19 : x
  2. Step 2: Convert to fraction form
    676.00/1,013.79 = 351.19/x
  3. Step 3: Cross multiply
    676.00x = 1,013.79 × 351.19
  4. Step 4: Simplify right side
    676.00x = 356,027.84
  5. Step 5: Solve for x
    x = 356,027.84/676.00
  6. Step 6: Final answer
    x = 526.67

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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.