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Finding the Fourth Proportional to 1,364.45, 1,882.94 and 743.45

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Solution

The fourth proportional to 1,364.45, 1,882.94 and 743.45 is: 1,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.45 : 1,882.94 = 743.45 : x
  2. Step 2: Convert to fraction form
    1,364.45/1,882.94 = 743.45/x
  3. Step 3: Cross multiply
    1,364.45x = 1,882.94 × 743.45
  4. Step 4: Simplify right side
    1,364.45x = 1,399,869.85
  5. Step 5: Solve for x
    x = 1,399,869.85/1,364.45
  6. Step 6: Final answer
    x = 1,025.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.