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Finding the Fourth Proportional to 1,087.53, 1,628.85 and 779.73

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Solution

The fourth proportional to 1,087.53, 1,628.85 and 779.73 is: 1,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.53 : 1,628.85 = 779.73 : x
  2. Step 2: Convert to fraction form
    1,087.53/1,628.85 = 779.73/x
  3. Step 3: Cross multiply
    1,087.53x = 1,628.85 × 779.73
  4. Step 4: Simplify right side
    1,087.53x = 1,270,063.21
  5. Step 5: Solve for x
    x = 1,270,063.21/1,087.53
  6. Step 6: Final answer
    x = 1,167.84

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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.