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Finding the Fourth Proportional to 876.56, 1,210.20 and 610.94

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Solution

The fourth proportional to 876.56, 1,210.20 and 610.94 is: 843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.56 : 1,210.20 = 610.94 : x
  2. Step 2: Convert to fraction form
    876.56/1,210.20 = 610.94/x
  3. Step 3: Cross multiply
    876.56x = 1,210.20 × 610.94
  4. Step 4: Simplify right side
    876.56x = 739,359.59
  5. Step 5: Solve for x
    x = 739,359.59/876.56
  6. Step 6: Final answer
    x = 843.48

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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.