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Finding the Fourth Proportional to 1,293.60, 1,784.12 and 769.12

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Solution

The fourth proportional to 1,293.60, 1,784.12 and 769.12 is: 1,060.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.60 : 1,784.12 = 769.12 : x
  2. Step 2: Convert to fraction form
    1,293.60/1,784.12 = 769.12/x
  3. Step 3: Cross multiply
    1,293.60x = 1,784.12 × 769.12
  4. Step 4: Simplify right side
    1,293.60x = 1,372,202.37
  5. Step 5: Solve for x
    x = 1,372,202.37/1,293.60
  6. Step 6: Final answer
    x = 1,060.76

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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.