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Finding the Fourth Proportional to 769.70, 1,154.67 and 379.65

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Solution

The fourth proportional to 769.70, 1,154.67 and 379.65 is: 569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.70 : 1,154.67 = 379.65 : x
  2. Step 2: Convert to fraction form
    769.70/1,154.67 = 379.65/x
  3. Step 3: Cross multiply
    769.70x = 1,154.67 × 379.65
  4. Step 4: Simplify right side
    769.70x = 438,370.47
  5. Step 5: Solve for x
    x = 438,370.47/769.70
  6. Step 6: Final answer
    x = 569.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.