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Finding the Fourth Proportional to 1,180.76, 1,771.94 and 814.89

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Solution

The fourth proportional to 1,180.76, 1,771.94 and 814.89 is: 1,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.76 : 1,771.94 = 814.89 : x
  2. Step 2: Convert to fraction form
    1,180.76/1,771.94 = 814.89/x
  3. Step 3: Cross multiply
    1,180.76x = 1,771.94 × 814.89
  4. Step 4: Simplify right side
    1,180.76x = 1,443,932.11
  5. Step 5: Solve for x
    x = 1,443,932.11/1,180.76
  6. Step 6: Final answer
    x = 1,222.89

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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.