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Finding the Fourth Proportional to 803.39, 1,205.22 and 608.66

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Solution

The fourth proportional to 803.39, 1,205.22 and 608.66 is: 913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.39 : 1,205.22 = 608.66 : x
  2. Step 2: Convert to fraction form
    803.39/1,205.22 = 608.66/x
  3. Step 3: Cross multiply
    803.39x = 1,205.22 × 608.66
  4. Step 4: Simplify right side
    803.39x = 733,569.21
  5. Step 5: Solve for x
    x = 733,569.21/803.39
  6. Step 6: Final answer
    x = 913.09

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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.