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Finding the Fourth Proportional to 742.79, 1,018.26 and 729.54

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Solution

The fourth proportional to 742.79, 1,018.26 and 729.54 is: 1,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.79 : 1,018.26 = 729.54 : x
  2. Step 2: Convert to fraction form
    742.79/1,018.26 = 729.54/x
  3. Step 3: Cross multiply
    742.79x = 1,018.26 × 729.54
  4. Step 4: Simplify right side
    742.79x = 742,861.40
  5. Step 5: Solve for x
    x = 742,861.40/742.79
  6. Step 6: Final answer
    x = 1,000.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.