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Finding the Fourth Proportional to 676.28, 1,014.42 and 434.36

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Solution

The fourth proportional to 676.28, 1,014.42 and 434.36 is: 651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.28 : 1,014.42 = 434.36 : x
  2. Step 2: Convert to fraction form
    676.28/1,014.42 = 434.36/x
  3. Step 3: Cross multiply
    676.28x = 1,014.42 × 434.36
  4. Step 4: Simplify right side
    676.28x = 440,623.47
  5. Step 5: Solve for x
    x = 440,623.47/676.28
  6. Step 6: Final answer
    x = 651.54

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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.