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Finding the Fourth Proportional to 769.74, 1,062.26 and 433.70

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Solution

The fourth proportional to 769.74, 1,062.26 and 433.70 is: 598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.74 : 1,062.26 = 433.70 : x
  2. Step 2: Convert to fraction form
    769.74/1,062.26 = 433.70/x
  3. Step 3: Cross multiply
    769.74x = 1,062.26 × 433.70
  4. Step 4: Simplify right side
    769.74x = 460,696.85
  5. Step 5: Solve for x
    x = 460,696.85/769.74
  6. Step 6: Final answer
    x = 598.51

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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.