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Finding the Fourth Proportional to 1,293, 1,784.50 and 733.56

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Solution

The fourth proportional to 1,293, 1,784.50 and 733.56 is: 1,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293 : 1,784.50 = 733.56 : x
  2. Step 2: Convert to fraction form
    1,293/1,784.50 = 733.56/x
  3. Step 3: Cross multiply
    1,293x = 1,784.50 × 733.56
  4. Step 4: Simplify right side
    1,293x = 1,309,037.82
  5. Step 5: Solve for x
    x = 1,309,037.82/1,293
  6. Step 6: Final answer
    x = 1,012.40

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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.