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Finding the Fourth Proportional to 1,082.31, 1,493.58 and 584.94

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Solution

The fourth proportional to 1,082.31, 1,493.58 and 584.94 is: 807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.31 : 1,493.58 = 584.94 : x
  2. Step 2: Convert to fraction form
    1,082.31/1,493.58 = 584.94/x
  3. Step 3: Cross multiply
    1,082.31x = 1,493.58 × 584.94
  4. Step 4: Simplify right side
    1,082.31x = 873,651.76
  5. Step 5: Solve for x
    x = 873,651.76/1,082.31
  6. Step 6: Final answer
    x = 807.21

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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.