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Finding the Fourth Proportional to 858.84, 1,286.60 and 447.36

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Solution

The fourth proportional to 858.84, 1,286.60 and 447.36 is: 670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.84 : 1,286.60 = 447.36 : x
  2. Step 2: Convert to fraction form
    858.84/1,286.60 = 447.36/x
  3. Step 3: Cross multiply
    858.84x = 1,286.60 × 447.36
  4. Step 4: Simplify right side
    858.84x = 575,573.38
  5. Step 5: Solve for x
    x = 575,573.38/858.84
  6. Step 6: Final answer
    x = 670.18

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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.