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Finding the Fourth Proportional to 773.59, 1,160.78 and 286.69

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Solution

The fourth proportional to 773.59, 1,160.78 and 286.69 is: 430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.59 : 1,160.78 = 286.69 : x
  2. Step 2: Convert to fraction form
    773.59/1,160.78 = 286.69/x
  3. Step 3: Cross multiply
    773.59x = 1,160.78 × 286.69
  4. Step 4: Simplify right side
    773.59x = 332,782.58
  5. Step 5: Solve for x
    x = 332,782.58/773.59
  6. Step 6: Final answer
    x = 430.18

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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.