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Finding the Fourth Proportional to 960.01, 1,325.02 and 610.63

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Solution

The fourth proportional to 960.01, 1,325.02 and 610.63 is: 842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.01 : 1,325.02 = 610.63 : x
  2. Step 2: Convert to fraction form
    960.01/1,325.02 = 610.63/x
  3. Step 3: Cross multiply
    960.01x = 1,325.02 × 610.63
  4. Step 4: Simplify right side
    960.01x = 809,096.96
  5. Step 5: Solve for x
    x = 809,096.96/960.01
  6. Step 6: Final answer
    x = 842.80

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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.