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Finding the Fourth Proportional to 860.72, 1,290.38 and 490.11

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Solution

The fourth proportional to 860.72, 1,290.38 and 490.11 is: 734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.72 : 1,290.38 = 490.11 : x
  2. Step 2: Convert to fraction form
    860.72/1,290.38 = 490.11/x
  3. Step 3: Cross multiply
    860.72x = 1,290.38 × 490.11
  4. Step 4: Simplify right side
    860.72x = 632,425.69
  5. Step 5: Solve for x
    x = 632,425.69/860.72
  6. Step 6: Final answer
    x = 734.77

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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.