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Finding the Fourth Proportional to 1,177.56, 1,766.34 and 311.84

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Solution

The fourth proportional to 1,177.56, 1,766.34 and 311.84 is: 467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.56 : 1,766.34 = 311.84 : x
  2. Step 2: Convert to fraction form
    1,177.56/1,766.34 = 311.84/x
  3. Step 3: Cross multiply
    1,177.56x = 1,766.34 × 311.84
  4. Step 4: Simplify right side
    1,177.56x = 550,815.47
  5. Step 5: Solve for x
    x = 550,815.47/1,177.56
  6. Step 6: Final answer
    x = 467.76

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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.