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Finding the Fourth Proportional to 859.34, 1,289.85 and 448.80

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Solution

The fourth proportional to 859.34, 1,289.85 and 448.80 is: 673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.34 : 1,289.85 = 448.80 : x
  2. Step 2: Convert to fraction form
    859.34/1,289.85 = 448.80/x
  3. Step 3: Cross multiply
    859.34x = 1,289.85 × 448.80
  4. Step 4: Simplify right side
    859.34x = 578,884.68
  5. Step 5: Solve for x
    x = 578,884.68/859.34
  6. Step 6: Final answer
    x = 673.64

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Why These Related Problems?

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