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Finding the Fourth Proportional to 773.26, 1,160.10 and 286.46

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Solution

The fourth proportional to 773.26, 1,160.10 and 286.46 is: 429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.26 : 1,160.10 = 286.46 : x
  2. Step 2: Convert to fraction form
    773.26/1,160.10 = 286.46/x
  3. Step 3: Cross multiply
    773.26x = 1,160.10 × 286.46
  4. Step 4: Simplify right side
    773.26x = 332,322.25
  5. Step 5: Solve for x
    x = 332,322.25/773.26
  6. Step 6: Final answer
    x = 429.77

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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.