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Finding the Fourth Proportional to 1,082.28, 1,629.20 and 776.28

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Solution

The fourth proportional to 1,082.28, 1,629.20 and 776.28 is: 1,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.28 : 1,629.20 = 776.28 : x
  2. Step 2: Convert to fraction form
    1,082.28/1,629.20 = 776.28/x
  3. Step 3: Cross multiply
    1,082.28x = 1,629.20 × 776.28
  4. Step 4: Simplify right side
    1,082.28x = 1,264,715.38
  5. Step 5: Solve for x
    x = 1,264,715.38/1,082.28
  6. Step 6: Final answer
    x = 1,168.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.