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Finding the Fourth Proportional to 843.13, 1,264.89 and 266

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Solution

The fourth proportional to 843.13, 1,264.89 and 266 is: 399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.13 : 1,264.89 = 266 : x
  2. Step 2: Convert to fraction form
    843.13/1,264.89 = 266/x
  3. Step 3: Cross multiply
    843.13x = 1,264.89 × 266
  4. Step 4: Simplify right side
    843.13x = 336,460.74
  5. Step 5: Solve for x
    x = 336,460.74/843.13
  6. Step 6: Final answer
    x = 399.06

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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.