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Finding the Fourth Proportional to 859.44, 1,185.12 and 610.50

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Solution

The fourth proportional to 859.44, 1,185.12 and 610.50 is: 841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.44 : 1,185.12 = 610.50 : x
  2. Step 2: Convert to fraction form
    859.44/1,185.12 = 610.50/x
  3. Step 3: Cross multiply
    859.44x = 1,185.12 × 610.50
  4. Step 4: Simplify right side
    859.44x = 723,515.76
  5. Step 5: Solve for x
    x = 723,515.76/859.44
  6. Step 6: Final answer
    x = 841.85

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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.