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Finding the Fourth Proportional to 1,082.98, 1,624.84 and 786.76

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Solution

The fourth proportional to 1,082.98, 1,624.84 and 786.76 is: 1,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.98 : 1,624.84 = 786.76 : x
  2. Step 2: Convert to fraction form
    1,082.98/1,624.84 = 786.76/x
  3. Step 3: Cross multiply
    1,082.98x = 1,624.84 × 786.76
  4. Step 4: Simplify right side
    1,082.98x = 1,278,370.06
  5. Step 5: Solve for x
    x = 1,278,370.06/1,082.98
  6. Step 6: Final answer
    x = 1,180.42

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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.