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Finding the Fourth Proportional to 855.16, 1,179.77 and 523.46

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Solution

The fourth proportional to 855.16, 1,179.77 and 523.46 is: 722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.16 : 1,179.77 = 523.46 : x
  2. Step 2: Convert to fraction form
    855.16/1,179.77 = 523.46/x
  3. Step 3: Cross multiply
    855.16x = 1,179.77 × 523.46
  4. Step 4: Simplify right side
    855.16x = 617,562.74
  5. Step 5: Solve for x
    x = 617,562.74/855.16
  6. Step 6: Final answer
    x = 722.16

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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.