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Finding the Fourth Proportional to 818.73, 1,228.08 and 407.75

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Solution

The fourth proportional to 818.73, 1,228.08 and 407.75 is: 611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.73 : 1,228.08 = 407.75 : x
  2. Step 2: Convert to fraction form
    818.73/1,228.08 = 407.75/x
  3. Step 3: Cross multiply
    818.73x = 1,228.08 × 407.75
  4. Step 4: Simplify right side
    818.73x = 500,743.48
  5. Step 5: Solve for x
    x = 500,743.48/818.73
  6. Step 6: Final answer
    x = 611.61

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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.