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Finding the Fourth Proportional to 823.68, 1,235.73 and 764.87

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Solution

The fourth proportional to 823.68, 1,235.73 and 764.87 is: 1,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.68 : 1,235.73 = 764.87 : x
  2. Step 2: Convert to fraction form
    823.68/1,235.73 = 764.87/x
  3. Step 3: Cross multiply
    823.68x = 1,235.73 × 764.87
  4. Step 4: Simplify right side
    823.68x = 945,166.63
  5. Step 5: Solve for x
    x = 945,166.63/823.68
  6. Step 6: Final answer
    x = 1,147.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.