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Finding the Fourth Proportional to 1,605.77, 2,409.45 and 728.85

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Solution

The fourth proportional to 1,605.77, 2,409.45 and 728.85 is: 1,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.77 : 2,409.45 = 728.85 : x
  2. Step 2: Convert to fraction form
    1,605.77/2,409.45 = 728.85/x
  3. Step 3: Cross multiply
    1,605.77x = 2,409.45 × 728.85
  4. Step 4: Simplify right side
    1,605.77x = 1,756,120.38
  5. Step 5: Solve for x
    x = 1,756,120.38/1,605.77
  6. Step 6: Final answer
    x = 1,093.63

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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.