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Finding the Fourth Proportional to 804.63, 1,206.84 and 342.06

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Solution

The fourth proportional to 804.63, 1,206.84 and 342.06 is: 513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.63 : 1,206.84 = 342.06 : x
  2. Step 2: Convert to fraction form
    804.63/1,206.84 = 342.06/x
  3. Step 3: Cross multiply
    804.63x = 1,206.84 × 342.06
  4. Step 4: Simplify right side
    804.63x = 412,811.69
  5. Step 5: Solve for x
    x = 412,811.69/804.63
  6. Step 6: Final answer
    x = 513.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.