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Finding the Fourth Proportional to 803.84, 1,205.92 and 418.88

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Solution

The fourth proportional to 803.84, 1,205.92 and 418.88 is: 628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.84 : 1,205.92 = 418.88 : x
  2. Step 2: Convert to fraction form
    803.84/1,205.92 = 418.88/x
  3. Step 3: Cross multiply
    803.84x = 1,205.92 × 418.88
  4. Step 4: Simplify right side
    803.84x = 505,135.77
  5. Step 5: Solve for x
    x = 505,135.77/803.84
  6. Step 6: Final answer
    x = 628.40

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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.