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Finding the Fourth Proportional to 855.84, 1,180.80 and 594.12

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Solution

The fourth proportional to 855.84, 1,180.80 and 594.12 is: 819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.84 : 1,180.80 = 594.12 : x
  2. Step 2: Convert to fraction form
    855.84/1,180.80 = 594.12/x
  3. Step 3: Cross multiply
    855.84x = 1,180.80 × 594.12
  4. Step 4: Simplify right side
    855.84x = 701,536.90
  5. Step 5: Solve for x
    x = 701,536.90/855.84
  6. Step 6: Final answer
    x = 819.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.