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Finding the Fourth Proportional to 804.62, 1,206.35 and 543.98

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Solution

The fourth proportional to 804.62, 1,206.35 and 543.98 is: 815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.62 : 1,206.35 = 543.98 : x
  2. Step 2: Convert to fraction form
    804.62/1,206.35 = 543.98/x
  3. Step 3: Cross multiply
    804.62x = 1,206.35 × 543.98
  4. Step 4: Simplify right side
    804.62x = 656,230.27
  5. Step 5: Solve for x
    x = 656,230.27/804.62
  6. Step 6: Final answer
    x = 815.58

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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.