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Finding the Fourth Proportional to 859.81, 1,186.84 and 579.87

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Solution

The fourth proportional to 859.81, 1,186.84 and 579.87 is: 800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.81 : 1,186.84 = 579.87 : x
  2. Step 2: Convert to fraction form
    859.81/1,186.84 = 579.87/x
  3. Step 3: Cross multiply
    859.81x = 1,186.84 × 579.87
  4. Step 4: Simplify right side
    859.81x = 688,207.04
  5. Step 5: Solve for x
    x = 688,207.04/859.81
  6. Step 6: Final answer
    x = 800.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.