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Finding the Fourth Proportional to 860.27, 1,185.46 and 610.89

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Solution

The fourth proportional to 860.27, 1,185.46 and 610.89 is: 841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.27 : 1,185.46 = 610.89 : x
  2. Step 2: Convert to fraction form
    860.27/1,185.46 = 610.89/x
  3. Step 3: Cross multiply
    860.27x = 1,185.46 × 610.89
  4. Step 4: Simplify right side
    860.27x = 724,185.65
  5. Step 5: Solve for x
    x = 724,185.65/860.27
  6. Step 6: Final answer
    x = 841.82

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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.