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Finding the Fourth Proportional to 769.73, 1,062.26 and 433.65

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Solution

The fourth proportional to 769.73, 1,062.26 and 433.65 is: 598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.73 : 1,062.26 = 433.65 : x
  2. Step 2: Convert to fraction form
    769.73/1,062.26 = 433.65/x
  3. Step 3: Cross multiply
    769.73x = 1,062.26 × 433.65
  4. Step 4: Simplify right side
    769.73x = 460,646.88
  5. Step 5: Solve for x
    x = 460,646.88/769.73
  6. Step 6: Final answer
    x = 598.46

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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.