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Finding the Fourth Proportional to 859.32, 1,289.82 and 449.10

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Solution

The fourth proportional to 859.32, 1,289.82 and 449.10 is: 674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.32 : 1,289.82 = 449.10 : x
  2. Step 2: Convert to fraction form
    859.32/1,289.82 = 449.10/x
  3. Step 3: Cross multiply
    859.32x = 1,289.82 × 449.10
  4. Step 4: Simplify right side
    859.32x = 579,258.16
  5. Step 5: Solve for x
    x = 579,258.16/859.32
  6. Step 6: Final answer
    x = 674.09

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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.