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Finding the Fourth Proportional to 1,293.46, 1,784.93 and 733.92

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Solution

The fourth proportional to 1,293.46, 1,784.93 and 733.92 is: 1,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.46 : 1,784.93 = 733.92 : x
  2. Step 2: Convert to fraction form
    1,293.46/1,784.93 = 733.92/x
  3. Step 3: Cross multiply
    1,293.46x = 1,784.93 × 733.92
  4. Step 4: Simplify right side
    1,293.46x = 1,309,992.16
  5. Step 5: Solve for x
    x = 1,309,992.16/1,293.46
  6. Step 6: Final answer
    x = 1,012.78

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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.