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Finding the Fourth Proportional to 860.05, 1,186.89 and 505.99

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Solution

The fourth proportional to 860.05, 1,186.89 and 505.99 is: 698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.05 : 1,186.89 = 505.99 : x
  2. Step 2: Convert to fraction form
    860.05/1,186.89 = 505.99/x
  3. Step 3: Cross multiply
    860.05x = 1,186.89 × 505.99
  4. Step 4: Simplify right side
    860.05x = 600,557.44
  5. Step 5: Solve for x
    x = 600,557.44/860.05
  6. Step 6: Final answer
    x = 698.28

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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.