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Finding the Fourth Proportional to 768.42, 1,059.48 and 505.98

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Solution

The fourth proportional to 768.42, 1,059.48 and 505.98 is: 697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.42 : 1,059.48 = 505.98 : x
  2. Step 2: Convert to fraction form
    768.42/1,059.48 = 505.98/x
  3. Step 3: Cross multiply
    768.42x = 1,059.48 × 505.98
  4. Step 4: Simplify right side
    768.42x = 536,075.69
  5. Step 5: Solve for x
    x = 536,075.69/768.42
  6. Step 6: Final answer
    x = 697.63

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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.