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Finding the Fourth Proportional to 1,177.34, 1,766.07 and 311.66

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Solution

The fourth proportional to 1,177.34, 1,766.07 and 311.66 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.34 : 1,766.07 = 311.66 : x
  2. Step 2: Convert to fraction form
    1,177.34/1,766.07 = 311.66/x
  3. Step 3: Cross multiply
    1,177.34x = 1,766.07 × 311.66
  4. Step 4: Simplify right side
    1,177.34x = 550,413.38
  5. Step 5: Solve for x
    x = 550,413.38/1,177.34
  6. Step 6: Final answer
    x = 467.51

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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.