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Finding the Fourth Proportional to 859.57, 1,186.22 and 505.42

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Solution

The fourth proportional to 859.57, 1,186.22 and 505.42 is: 697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.57 : 1,186.22 = 505.42 : x
  2. Step 2: Convert to fraction form
    859.57/1,186.22 = 505.42/x
  3. Step 3: Cross multiply
    859.57x = 1,186.22 × 505.42
  4. Step 4: Simplify right side
    859.57x = 599,539.31
  5. Step 5: Solve for x
    x = 599,539.31/859.57
  6. Step 6: Final answer
    x = 697.49

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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.