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Finding the Fourth Proportional to 960.85, 1,431.14 and 956.40

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Solution

The fourth proportional to 960.85, 1,431.14 and 956.40 is: 1,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.85 : 1,431.14 = 956.40 : x
  2. Step 2: Convert to fraction form
    960.85/1,431.14 = 956.40/x
  3. Step 3: Cross multiply
    960.85x = 1,431.14 × 956.40
  4. Step 4: Simplify right side
    960.85x = 1,368,742.30
  5. Step 5: Solve for x
    x = 1,368,742.30/960.85
  6. Step 6: Final answer
    x = 1,424.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.