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Finding the Fourth Proportional to 862.56, 1,190.52 and 601.80

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Solution

The fourth proportional to 862.56, 1,190.52 and 601.80 is: 830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.56 : 1,190.52 = 601.80 : x
  2. Step 2: Convert to fraction form
    862.56/1,190.52 = 601.80/x
  3. Step 3: Cross multiply
    862.56x = 1,190.52 × 601.80
  4. Step 4: Simplify right side
    862.56x = 716,454.94
  5. Step 5: Solve for x
    x = 716,454.94/862.56
  6. Step 6: Final answer
    x = 830.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.