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Finding the Fourth Proportional to 1,293.14, 1,784.57 and 733.63

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Solution

The fourth proportional to 1,293.14, 1,784.57 and 733.63 is: 1,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.14 : 1,784.57 = 733.63 : x
  2. Step 2: Convert to fraction form
    1,293.14/1,784.57 = 733.63/x
  3. Step 3: Cross multiply
    1,293.14x = 1,784.57 × 733.63
  4. Step 4: Simplify right side
    1,293.14x = 1,309,212.40
  5. Step 5: Solve for x
    x = 1,309,212.40/1,293.14
  6. Step 6: Final answer
    x = 1,012.43

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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.