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Finding the Fourth Proportional to 1,082.79, 1,493.84 and 634.46

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Solution

The fourth proportional to 1,082.79, 1,493.84 and 634.46 is: 875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.79 : 1,493.84 = 634.46 : x
  2. Step 2: Convert to fraction form
    1,082.79/1,493.84 = 634.46/x
  3. Step 3: Cross multiply
    1,082.79x = 1,493.84 × 634.46
  4. Step 4: Simplify right side
    1,082.79x = 947,775.84
  5. Step 5: Solve for x
    x = 947,775.84/1,082.79
  6. Step 6: Final answer
    x = 875.31

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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.