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Finding the Fourth Proportional to 770.67, 1,063.28 and 475.83

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Solution

The fourth proportional to 770.67, 1,063.28 and 475.83 is: 656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.67 : 1,063.28 = 475.83 : x
  2. Step 2: Convert to fraction form
    770.67/1,063.28 = 475.83/x
  3. Step 3: Cross multiply
    770.67x = 1,063.28 × 475.83
  4. Step 4: Simplify right side
    770.67x = 505,941.71
  5. Step 5: Solve for x
    x = 505,941.71/770.67
  6. Step 6: Final answer
    x = 656.50

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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.