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Finding the Fourth Proportional to 804.12, 1,204.92 and 457.44

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Solution

The fourth proportional to 804.12, 1,204.92 and 457.44 is: 685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.12 : 1,204.92 = 457.44 : x
  2. Step 2: Convert to fraction form
    804.12/1,204.92 = 457.44/x
  3. Step 3: Cross multiply
    804.12x = 1,204.92 × 457.44
  4. Step 4: Simplify right side
    804.12x = 551,178.60
  5. Step 5: Solve for x
    x = 551,178.60/804.12
  6. Step 6: Final answer
    x = 685.44

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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.