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Finding the Fourth Proportional to 804.69, 1,204.29 and 674.84

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Solution

The fourth proportional to 804.69, 1,204.29 and 674.84 is: 1,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.69 : 1,204.29 = 674.84 : x
  2. Step 2: Convert to fraction form
    804.69/1,204.29 = 674.84/x
  3. Step 3: Cross multiply
    804.69x = 1,204.29 × 674.84
  4. Step 4: Simplify right side
    804.69x = 812,697.04
  5. Step 5: Solve for x
    x = 812,697.04/804.69
  6. Step 6: Final answer
    x = 1,009.96

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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.