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Finding the Fourth Proportional to 859.88, 1,186.57 and 505.82

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Solution

The fourth proportional to 859.88, 1,186.57 and 505.82 is: 697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.88 : 1,186.57 = 505.82 : x
  2. Step 2: Convert to fraction form
    859.88/1,186.57 = 505.82/x
  3. Step 3: Cross multiply
    859.88x = 1,186.57 × 505.82
  4. Step 4: Simplify right side
    859.88x = 600,183.64
  5. Step 5: Solve for x
    x = 600,183.64/859.88
  6. Step 6: Final answer
    x = 697.98

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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.