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Finding the Fourth Proportional to 1,245.26, 1,868.52 and 782.96

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Solution

The fourth proportional to 1,245.26, 1,868.52 and 782.96 is: 1,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.26 : 1,868.52 = 782.96 : x
  2. Step 2: Convert to fraction form
    1,245.26/1,868.52 = 782.96/x
  3. Step 3: Cross multiply
    1,245.26x = 1,868.52 × 782.96
  4. Step 4: Simplify right side
    1,245.26x = 1,462,969.79
  5. Step 5: Solve for x
    x = 1,462,969.79/1,245.26
  6. Step 6: Final answer
    x = 1,174.83

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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.