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Finding the Fourth Proportional to 1,285.66, 1,927.83 and 668.77

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Solution

The fourth proportional to 1,285.66, 1,927.83 and 668.77 is: 1,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.66 : 1,927.83 = 668.77 : x
  2. Step 2: Convert to fraction form
    1,285.66/1,927.83 = 668.77/x
  3. Step 3: Cross multiply
    1,285.66x = 1,927.83 × 668.77
  4. Step 4: Simplify right side
    1,285.66x = 1,289,274.87
  5. Step 5: Solve for x
    x = 1,289,274.87/1,285.66
  6. Step 6: Final answer
    x = 1,002.81

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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.