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Finding the Fourth Proportional to 855.14, 1,180.09 and 462.16

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Solution

The fourth proportional to 855.14, 1,180.09 and 462.16 is: 637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.14 : 1,180.09 = 462.16 : x
  2. Step 2: Convert to fraction form
    855.14/1,180.09 = 462.16/x
  3. Step 3: Cross multiply
    855.14x = 1,180.09 × 462.16
  4. Step 4: Simplify right side
    855.14x = 545,397.07
  5. Step 5: Solve for x
    x = 545,397.07/855.14
  6. Step 6: Final answer
    x = 637.79

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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.