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Finding the Fourth Proportional to 1,177.73, 1,766.21 and 657.98

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Solution

The fourth proportional to 1,177.73, 1,766.21 and 657.98 is: 986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.73 : 1,766.21 = 657.98 : x
  2. Step 2: Convert to fraction form
    1,177.73/1,766.21 = 657.98/x
  3. Step 3: Cross multiply
    1,177.73x = 1,766.21 × 657.98
  4. Step 4: Simplify right side
    1,177.73x = 1,162,122.02
  5. Step 5: Solve for x
    x = 1,162,122.02/1,177.73
  6. Step 6: Final answer
    x = 986.75

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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.