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Finding the Fourth Proportional to 859.86, 1,185.78 and 591.30

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Solution

The fourth proportional to 859.86, 1,185.78 and 591.30 is: 815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.86 : 1,185.78 = 591.30 : x
  2. Step 2: Convert to fraction form
    859.86/1,185.78 = 591.30/x
  3. Step 3: Cross multiply
    859.86x = 1,185.78 × 591.30
  4. Step 4: Simplify right side
    859.86x = 701,151.71
  5. Step 5: Solve for x
    x = 701,151.71/859.86
  6. Step 6: Final answer
    x = 815.43

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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.