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Finding the Fourth Proportional to 860.05, 1,290.03 and 449.45

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Solution

The fourth proportional to 860.05, 1,290.03 and 449.45 is: 674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.05 : 1,290.03 = 449.45 : x
  2. Step 2: Convert to fraction form
    860.05/1,290.03 = 449.45/x
  3. Step 3: Cross multiply
    860.05x = 1,290.03 × 449.45
  4. Step 4: Simplify right side
    860.05x = 579,800.69
  5. Step 5: Solve for x
    x = 579,800.69/860.05
  6. Step 6: Final answer
    x = 674.15

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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.