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Finding the Fourth Proportional to 859.84, 1,290.60 and 449.31

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Solution

The fourth proportional to 859.84, 1,290.60 and 449.31 is: 674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.84 : 1,290.60 = 449.31 : x
  2. Step 2: Convert to fraction form
    859.84/1,290.60 = 449.31/x
  3. Step 3: Cross multiply
    859.84x = 1,290.60 × 449.31
  4. Step 4: Simplify right side
    859.84x = 579,873.03
  5. Step 5: Solve for x
    x = 579,873.03/859.84
  6. Step 6: Final answer
    x = 674.40

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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.