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Finding the Fourth Proportional to 772.84, 1,159.05 and 286.03

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Solution

The fourth proportional to 772.84, 1,159.05 and 286.03 is: 428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.84 : 1,159.05 = 286.03 : x
  2. Step 2: Convert to fraction form
    772.84/1,159.05 = 286.03/x
  3. Step 3: Cross multiply
    772.84x = 1,159.05 × 286.03
  4. Step 4: Simplify right side
    772.84x = 331,517.28
  5. Step 5: Solve for x
    x = 331,517.28/772.84
  6. Step 6: Final answer
    x = 428.96

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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.