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Finding the Fourth Proportional to 773.42, 1,159.59 and 286.41

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Solution

The fourth proportional to 773.42, 1,159.59 and 286.41 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.42 : 1,159.59 = 286.41 : x
  2. Step 2: Convert to fraction form
    773.42/1,159.59 = 286.41/x
  3. Step 3: Cross multiply
    773.42x = 1,159.59 × 286.41
  4. Step 4: Simplify right side
    773.42x = 332,118.17
  5. Step 5: Solve for x
    x = 332,118.17/773.42
  6. Step 6: Final answer
    x = 429.42

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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.