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Finding the Fourth Proportional to 812.60, 1,218.63 and 264.63

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Solution

The fourth proportional to 812.60, 1,218.63 and 264.63 is: 396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.60 : 1,218.63 = 264.63 : x
  2. Step 2: Convert to fraction form
    812.60/1,218.63 = 264.63/x
  3. Step 3: Cross multiply
    812.60x = 1,218.63 × 264.63
  4. Step 4: Simplify right side
    812.60x = 322,486.06
  5. Step 5: Solve for x
    x = 322,486.06/812.60
  6. Step 6: Final answer
    x = 396.86

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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.