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Finding the Fourth Proportional to 773.63, 1,160.33 and 286.59

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Solution

The fourth proportional to 773.63, 1,160.33 and 286.59 is: 429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.63 : 1,160.33 = 286.59 : x
  2. Step 2: Convert to fraction form
    773.63/1,160.33 = 286.59/x
  3. Step 3: Cross multiply
    773.63x = 1,160.33 × 286.59
  4. Step 4: Simplify right side
    773.63x = 332,537.54
  5. Step 5: Solve for x
    x = 332,537.54/773.63
  6. Step 6: Final answer
    x = 429.84

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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.