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Finding the Fourth Proportional to 1,293.54, 1,785.15 and 733.92

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Solution

The fourth proportional to 1,293.54, 1,785.15 and 733.92 is: 1,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.54 : 1,785.15 = 733.92 : x
  2. Step 2: Convert to fraction form
    1,293.54/1,785.15 = 733.92/x
  3. Step 3: Cross multiply
    1,293.54x = 1,785.15 × 733.92
  4. Step 4: Simplify right side
    1,293.54x = 1,310,157.29
  5. Step 5: Solve for x
    x = 1,310,157.29/1,293.54
  6. Step 6: Final answer
    x = 1,012.85

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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.