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Finding the Fourth Proportional to 860, 1,289.28 and 448.88

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Solution

The fourth proportional to 860, 1,289.28 and 448.88 is: 672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    860 : 1,289.28 = 448.88 : x
  2. Step 2: Convert to fraction form
    860/1,289.28 = 448.88/x
  3. Step 3: Cross multiply
    860x = 1,289.28 × 448.88
  4. Step 4: Simplify right side
    860x = 578,732.01
  5. Step 5: Solve for x
    x = 578,732.01/860
  6. Step 6: Final answer
    x = 672.94

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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.