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Finding the Fourth Proportional to 804.06, 1,204.74 and 559.98

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Solution

The fourth proportional to 804.06, 1,204.74 and 559.98 is: 839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.06 : 1,204.74 = 559.98 : x
  2. Step 2: Convert to fraction form
    804.06/1,204.74 = 559.98/x
  3. Step 3: Cross multiply
    804.06x = 1,204.74 × 559.98
  4. Step 4: Simplify right side
    804.06x = 674,630.31
  5. Step 5: Solve for x
    x = 674,630.31/804.06
  6. Step 6: Final answer
    x = 839.03

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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.