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Finding the Fourth Proportional to 804.64, 1,206 and 559.84

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Solution

The fourth proportional to 804.64, 1,206 and 559.84 is: 839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.64 : 1,206 = 559.84 : x
  2. Step 2: Convert to fraction form
    804.64/1,206 = 559.84/x
  3. Step 3: Cross multiply
    804.64x = 1,206 × 559.84
  4. Step 4: Simplify right side
    804.64x = 675,167.04
  5. Step 5: Solve for x
    x = 675,167.04/804.64
  6. Step 6: Final answer
    x = 839.09

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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.