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Finding the Fourth Proportional to 1,293.30, 1,784.77 and 769.23

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Solution

The fourth proportional to 1,293.30, 1,784.77 and 769.23 is: 1,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.30 : 1,784.77 = 769.23 : x
  2. Step 2: Convert to fraction form
    1,293.30/1,784.77 = 769.23/x
  3. Step 3: Cross multiply
    1,293.30x = 1,784.77 × 769.23
  4. Step 4: Simplify right side
    1,293.30x = 1,372,898.63
  5. Step 5: Solve for x
    x = 1,372,898.63/1,293.30
  6. Step 6: Final answer
    x = 1,061.55

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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.