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Finding the Fourth Proportional to 676.49, 1,014.64 and 189.57

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Solution

The fourth proportional to 676.49, 1,014.64 and 189.57 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.49 : 1,014.64 = 189.57 : x
  2. Step 2: Convert to fraction form
    676.49/1,014.64 = 189.57/x
  3. Step 3: Cross multiply
    676.49x = 1,014.64 × 189.57
  4. Step 4: Simplify right side
    676.49x = 192,348.64
  5. Step 5: Solve for x
    x = 192,348.64/676.49
  6. Step 6: Final answer
    x = 284.34

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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.