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Finding the Fourth Proportional to 773.52, 1,160.16 and 286.46

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Solution

The fourth proportional to 773.52, 1,160.16 and 286.46 is: 429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,160.16 = 286.46 : x
  2. Step 2: Convert to fraction form
    773.52/1,160.16 = 286.46/x
  3. Step 3: Cross multiply
    773.52x = 1,160.16 × 286.46
  4. Step 4: Simplify right side
    773.52x = 332,339.43
  5. Step 5: Solve for x
    x = 332,339.43/773.52
  6. Step 6: Final answer
    x = 429.65

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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.