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Finding the Fourth Proportional to 803.25, 1,204.97 and 456.39

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Solution

The fourth proportional to 803.25, 1,204.97 and 456.39 is: 684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.25 : 1,204.97 = 456.39 : x
  2. Step 2: Convert to fraction form
    803.25/1,204.97 = 456.39/x
  3. Step 3: Cross multiply
    803.25x = 1,204.97 × 456.39
  4. Step 4: Simplify right side
    803.25x = 549,933.98
  5. Step 5: Solve for x
    x = 549,933.98/803.25
  6. Step 6: Final answer
    x = 684.64

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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.