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Finding the Fourth Proportional to 768.16, 1,059.69 and 557.99

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Solution

The fourth proportional to 768.16, 1,059.69 and 557.99 is: 769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.16 : 1,059.69 = 557.99 : x
  2. Step 2: Convert to fraction form
    768.16/1,059.69 = 557.99/x
  3. Step 3: Cross multiply
    768.16x = 1,059.69 × 557.99
  4. Step 4: Simplify right side
    768.16x = 591,296.42
  5. Step 5: Solve for x
    x = 591,296.42/768.16
  6. Step 6: Final answer
    x = 769.76

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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.