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Finding the Fourth Proportional to 859.34, 1,186.06 and 486.33

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Solution

The fourth proportional to 859.34, 1,186.06 and 486.33 is: 671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.34 : 1,186.06 = 486.33 : x
  2. Step 2: Convert to fraction form
    859.34/1,186.06 = 486.33/x
  3. Step 3: Cross multiply
    859.34x = 1,186.06 × 486.33
  4. Step 4: Simplify right side
    859.34x = 576,816.56
  5. Step 5: Solve for x
    x = 576,816.56/859.34
  6. Step 6: Final answer
    x = 671.23

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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.