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Finding the Fourth Proportional to 960.75, 1,325.84 and 546.75

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Solution

The fourth proportional to 960.75, 1,325.84 and 546.75 is: 754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.75 : 1,325.84 = 546.75 : x
  2. Step 2: Convert to fraction form
    960.75/1,325.84 = 546.75/x
  3. Step 3: Cross multiply
    960.75x = 1,325.84 × 546.75
  4. Step 4: Simplify right side
    960.75x = 724,900.29
  5. Step 5: Solve for x
    x = 724,900.29/960.75
  6. Step 6: Final answer
    x = 754.52

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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.