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Finding the Fourth Proportional to 770.83, 1,063.44 and 475.59

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Solution

The fourth proportional to 770.83, 1,063.44 and 475.59 is: 656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.83 : 1,063.44 = 475.59 : x
  2. Step 2: Convert to fraction form
    770.83/1,063.44 = 475.59/x
  3. Step 3: Cross multiply
    770.83x = 1,063.44 × 475.59
  4. Step 4: Simplify right side
    770.83x = 505,759.23
  5. Step 5: Solve for x
    x = 505,759.23/770.83
  6. Step 6: Final answer
    x = 656.12

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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.