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Finding the Fourth Proportional to 768.02, 1,059.95 and 519.85

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Solution

The fourth proportional to 768.02, 1,059.95 and 519.85 is: 717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.02 : 1,059.95 = 519.85 : x
  2. Step 2: Convert to fraction form
    768.02/1,059.95 = 519.85/x
  3. Step 3: Cross multiply
    768.02x = 1,059.95 × 519.85
  4. Step 4: Simplify right side
    768.02x = 551,017.63
  5. Step 5: Solve for x
    x = 551,017.63/768.02
  6. Step 6: Final answer
    x = 717.46

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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.