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Finding the Fourth Proportional to 960.84, 1,325.96 and 541.20

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Solution

The fourth proportional to 960.84, 1,325.96 and 541.20 is: 746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.84 : 1,325.96 = 541.20 : x
  2. Step 2: Convert to fraction form
    960.84/1,325.96 = 541.20/x
  3. Step 3: Cross multiply
    960.84x = 1,325.96 × 541.20
  4. Step 4: Simplify right side
    960.84x = 717,606.85
  5. Step 5: Solve for x
    x = 717,606.85/960.84
  6. Step 6: Final answer
    x = 746.85

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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.