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Finding the Fourth Proportional to 676.29, 1,014.32 and 189.23

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Solution

The fourth proportional to 676.29, 1,014.32 and 189.23 is: 283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.29 : 1,014.32 = 189.23 : x
  2. Step 2: Convert to fraction form
    676.29/1,014.32 = 189.23/x
  3. Step 3: Cross multiply
    676.29x = 1,014.32 × 189.23
  4. Step 4: Simplify right side
    676.29x = 191,933.76
  5. Step 5: Solve for x
    x = 191,933.76/676.29
  6. Step 6: Final answer
    x = 283.80

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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.