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Finding the Fourth Proportional to 768.79, 1,059.83 and 506.35

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Solution

The fourth proportional to 768.79, 1,059.83 and 506.35 is: 698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.79 : 1,059.83 = 506.35 : x
  2. Step 2: Convert to fraction form
    768.79/1,059.83 = 506.35/x
  3. Step 3: Cross multiply
    768.79x = 1,059.83 × 506.35
  4. Step 4: Simplify right side
    768.79x = 536,648.46
  5. Step 5: Solve for x
    x = 536,648.46/768.79
  6. Step 6: Final answer
    x = 698.04

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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.