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Finding the Fourth Proportional to 1,183.71, 1,782.44 and 877.73

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Solution

The fourth proportional to 1,183.71, 1,782.44 and 877.73 is: 1,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.71 : 1,782.44 = 877.73 : x
  2. Step 2: Convert to fraction form
    1,183.71/1,782.44 = 877.73/x
  3. Step 3: Cross multiply
    1,183.71x = 1,782.44 × 877.73
  4. Step 4: Simplify right side
    1,183.71x = 1,564,487.76
  5. Step 5: Solve for x
    x = 1,564,487.76/1,183.71
  6. Step 6: Final answer
    x = 1,321.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.