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Finding the Fourth Proportional to 960.84, 1,436.25 and 832.32

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Solution

The fourth proportional to 960.84, 1,436.25 and 832.32 is: 1,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.84 : 1,436.25 = 832.32 : x
  2. Step 2: Convert to fraction form
    960.84/1,436.25 = 832.32/x
  3. Step 3: Cross multiply
    960.84x = 1,436.25 × 832.32
  4. Step 4: Simplify right side
    960.84x = 1,195,419.60
  5. Step 5: Solve for x
    x = 1,195,419.60/960.84
  6. Step 6: Final answer
    x = 1,244.14

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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.