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Finding the Fourth Proportional to 859.83, 1,186.63 and 486.81

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Solution

The fourth proportional to 859.83, 1,186.63 and 486.81 is: 671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.83 : 1,186.63 = 486.81 : x
  2. Step 2: Convert to fraction form
    859.83/1,186.63 = 486.81/x
  3. Step 3: Cross multiply
    859.83x = 1,186.63 × 486.81
  4. Step 4: Simplify right side
    859.83x = 577,663.35
  5. Step 5: Solve for x
    x = 577,663.35/859.83
  6. Step 6: Final answer
    x = 671.83

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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.