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Finding the Fourth Proportional to 1,177.94, 1,767.27 and 408.50

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Solution

The fourth proportional to 1,177.94, 1,767.27 and 408.50 is: 612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.94 : 1,767.27 = 408.50 : x
  2. Step 2: Convert to fraction form
    1,177.94/1,767.27 = 408.50/x
  3. Step 3: Cross multiply
    1,177.94x = 1,767.27 × 408.50
  4. Step 4: Simplify right side
    1,177.94x = 721,929.80
  5. Step 5: Solve for x
    x = 721,929.80/1,177.94
  6. Step 6: Final answer
    x = 612.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.