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Finding the Fourth Proportional to 855.40, 1,180.43 and 482.37

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Solution

The fourth proportional to 855.40, 1,180.43 and 482.37 is: 665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.40 : 1,180.43 = 482.37 : x
  2. Step 2: Convert to fraction form
    855.40/1,180.43 = 482.37/x
  3. Step 3: Cross multiply
    855.40x = 1,180.43 × 482.37
  4. Step 4: Simplify right side
    855.40x = 569,407.84
  5. Step 5: Solve for x
    x = 569,407.84/855.40
  6. Step 6: Final answer
    x = 665.66

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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.