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Finding the Fourth Proportional to 769.14, 1,060.74 and 506.88

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Solution

The fourth proportional to 769.14, 1,060.74 and 506.88 is: 699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.14 : 1,060.74 = 506.88 : x
  2. Step 2: Convert to fraction form
    769.14/1,060.74 = 506.88/x
  3. Step 3: Cross multiply
    769.14x = 1,060.74 × 506.88
  4. Step 4: Simplify right side
    769.14x = 537,667.89
  5. Step 5: Solve for x
    x = 537,667.89/769.14
  6. Step 6: Final answer
    x = 699.05

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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.