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Finding the Fourth Proportional to 1,293.45, 1,784.57 and 733.91

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Solution

The fourth proportional to 1,293.45, 1,784.57 and 733.91 is: 1,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.45 : 1,784.57 = 733.91 : x
  2. Step 2: Convert to fraction form
    1,293.45/1,784.57 = 733.91/x
  3. Step 3: Cross multiply
    1,293.45x = 1,784.57 × 733.91
  4. Step 4: Simplify right side
    1,293.45x = 1,309,713.77
  5. Step 5: Solve for x
    x = 1,309,713.77/1,293.45
  6. Step 6: Final answer
    x = 1,012.57

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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.