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Finding the Fourth Proportional to 818.99, 1,226.87 and 384.83

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Solution

The fourth proportional to 818.99, 1,226.87 and 384.83 is: 576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.99 : 1,226.87 = 384.83 : x
  2. Step 2: Convert to fraction form
    818.99/1,226.87 = 384.83/x
  3. Step 3: Cross multiply
    818.99x = 1,226.87 × 384.83
  4. Step 4: Simplify right side
    818.99x = 472,134.46
  5. Step 5: Solve for x
    x = 472,134.46/818.99
  6. Step 6: Final answer
    x = 576.48

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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.