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Finding the Fourth Proportional to 1,274.85, 1,911.24 and 786.87

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Solution

The fourth proportional to 1,274.85, 1,911.24 and 786.87 is: 1,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.85 : 1,911.24 = 786.87 : x
  2. Step 2: Convert to fraction form
    1,274.85/1,911.24 = 786.87/x
  3. Step 3: Cross multiply
    1,274.85x = 1,911.24 × 786.87
  4. Step 4: Simplify right side
    1,274.85x = 1,503,897.42
  5. Step 5: Solve for x
    x = 1,503,897.42/1,274.85
  6. Step 6: Final answer
    x = 1,179.67

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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.