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Finding the Fourth Proportional to 772.84, 1,159.26 and 450.28

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Solution

The fourth proportional to 772.84, 1,159.26 and 450.28 is: 675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.84 : 1,159.26 = 450.28 : x
  2. Step 2: Convert to fraction form
    772.84/1,159.26 = 450.28/x
  3. Step 3: Cross multiply
    772.84x = 1,159.26 × 450.28
  4. Step 4: Simplify right side
    772.84x = 521,991.59
  5. Step 5: Solve for x
    x = 521,991.59/772.84
  6. Step 6: Final answer
    x = 675.42

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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.