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Finding the Fourth Proportional to 859.61, 1,186.24 and 486.61

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Solution

The fourth proportional to 859.61, 1,186.24 and 486.61 is: 671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.61 : 1,186.24 = 486.61 : x
  2. Step 2: Convert to fraction form
    859.61/1,186.24 = 486.61/x
  3. Step 3: Cross multiply
    859.61x = 1,186.24 × 486.61
  4. Step 4: Simplify right side
    859.61x = 577,231.80
  5. Step 5: Solve for x
    x = 577,231.80/859.61
  6. Step 6: Final answer
    x = 671.50

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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.