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Finding the Fourth Proportional to 818.75, 1,226.97 and 356.18

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Solution

The fourth proportional to 818.75, 1,226.97 and 356.18 is: 533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.75 : 1,226.97 = 356.18 : x
  2. Step 2: Convert to fraction form
    818.75/1,226.97 = 356.18/x
  3. Step 3: Cross multiply
    818.75x = 1,226.97 × 356.18
  4. Step 4: Simplify right side
    818.75x = 437,022.17
  5. Step 5: Solve for x
    x = 437,022.17/818.75
  6. Step 6: Final answer
    x = 533.77

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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.