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Finding the Fourth Proportional to 803.26, 1,205.04 and 456.98

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Solution

The fourth proportional to 803.26, 1,205.04 and 456.98 is: 685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.26 : 1,205.04 = 456.98 : x
  2. Step 2: Convert to fraction form
    803.26/1,205.04 = 456.98/x
  3. Step 3: Cross multiply
    803.26x = 1,205.04 × 456.98
  4. Step 4: Simplify right side
    803.26x = 550,676.89
  5. Step 5: Solve for x
    x = 550,676.89/803.26
  6. Step 6: Final answer
    x = 685.56

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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.