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Finding the Fourth Proportional to 676.92, 1,015.12 and 266.16

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Solution

The fourth proportional to 676.92, 1,015.12 and 266.16 is: 399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.92 : 1,015.12 = 266.16 : x
  2. Step 2: Convert to fraction form
    676.92/1,015.12 = 266.16/x
  3. Step 3: Cross multiply
    676.92x = 1,015.12 × 266.16
  4. Step 4: Simplify right side
    676.92x = 270,184.34
  5. Step 5: Solve for x
    x = 270,184.34/676.92
  6. Step 6: Final answer
    x = 399.14

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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.