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Finding the Fourth Proportional to 960.50, 1,325.49 and 546.50

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Solution

The fourth proportional to 960.50, 1,325.49 and 546.50 is: 754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.50 : 1,325.49 = 546.50 : x
  2. Step 2: Convert to fraction form
    960.50/1,325.49 = 546.50/x
  3. Step 3: Cross multiply
    960.50x = 1,325.49 × 546.50
  4. Step 4: Simplify right side
    960.50x = 724,380.29
  5. Step 5: Solve for x
    x = 724,380.29/960.50
  6. Step 6: Final answer
    x = 754.17

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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.