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Finding the Fourth Proportional to 769.42, 1,154.14 and 282.34

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Solution

The fourth proportional to 769.42, 1,154.14 and 282.34 is: 423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.42 : 1,154.14 = 282.34 : x
  2. Step 2: Convert to fraction form
    769.42/1,154.14 = 282.34/x
  3. Step 3: Cross multiply
    769.42x = 1,154.14 × 282.34
  4. Step 4: Simplify right side
    769.42x = 325,859.89
  5. Step 5: Solve for x
    x = 325,859.89/769.42
  6. Step 6: Final answer
    x = 423.51

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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.