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Finding the Fourth Proportional to 860.09, 1,186.80 and 505.96

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Solution

The fourth proportional to 860.09, 1,186.80 and 505.96 is: 698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.09 : 1,186.80 = 505.96 : x
  2. Step 2: Convert to fraction form
    860.09/1,186.80 = 505.96/x
  3. Step 3: Cross multiply
    860.09x = 1,186.80 × 505.96
  4. Step 4: Simplify right side
    860.09x = 600,477.99
  5. Step 5: Solve for x
    x = 600,477.99/860.09
  6. Step 6: Final answer
    x = 698.16

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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.