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Finding the Fourth Proportional to 1,082.57, 1,493.69 and 634.37

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Solution

The fourth proportional to 1,082.57, 1,493.69 and 634.37 is: 875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.57 : 1,493.69 = 634.37 : x
  2. Step 2: Convert to fraction form
    1,082.57/1,493.69 = 634.37/x
  3. Step 3: Cross multiply
    1,082.57x = 1,493.69 × 634.37
  4. Step 4: Simplify right side
    1,082.57x = 947,541.49
  5. Step 5: Solve for x
    x = 947,541.49/1,082.57
  6. Step 6: Final answer
    x = 875.27

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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.