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Finding the Fourth Proportional to 769.84, 1,154.66 and 276.23

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Solution

The fourth proportional to 769.84, 1,154.66 and 276.23 is: 414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.84 : 1,154.66 = 276.23 : x
  2. Step 2: Convert to fraction form
    769.84/1,154.66 = 276.23/x
  3. Step 3: Cross multiply
    769.84x = 1,154.66 × 276.23
  4. Step 4: Simplify right side
    769.84x = 318,953.24
  5. Step 5: Solve for x
    x = 318,953.24/769.84
  6. Step 6: Final answer
    x = 414.31

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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.