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Finding the Fourth Proportional to 1,177.94, 1,766.74 and 657.62

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Solution

The fourth proportional to 1,177.94, 1,766.74 and 657.62 is: 986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.94 : 1,766.74 = 657.62 : x
  2. Step 2: Convert to fraction form
    1,177.94/1,766.74 = 657.62/x
  3. Step 3: Cross multiply
    1,177.94x = 1,766.74 × 657.62
  4. Step 4: Simplify right side
    1,177.94x = 1,161,846.33
  5. Step 5: Solve for x
    x = 1,161,846.33/1,177.94
  6. Step 6: Final answer
    x = 986.34

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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.