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Finding the Fourth Proportional to 676.34, 1,013.43 and 611.54

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Solution

The fourth proportional to 676.34, 1,013.43 and 611.54 is: 916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.34 : 1,013.43 = 611.54 : x
  2. Step 2: Convert to fraction form
    676.34/1,013.43 = 611.54/x
  3. Step 3: Cross multiply
    676.34x = 1,013.43 × 611.54
  4. Step 4: Simplify right side
    676.34x = 619,752.98
  5. Step 5: Solve for x
    x = 619,752.98/676.34
  6. Step 6: Final answer
    x = 916.33

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