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Finding the Fourth Proportional to 1,107.31, 1,660.32 and 559.21

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Solution

The fourth proportional to 1,107.31, 1,660.32 and 559.21 is: 838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.31 : 1,660.32 = 559.21 : x
  2. Step 2: Convert to fraction form
    1,107.31/1,660.32 = 559.21/x
  3. Step 3: Cross multiply
    1,107.31x = 1,660.32 × 559.21
  4. Step 4: Simplify right side
    1,107.31x = 928,467.55
  5. Step 5: Solve for x
    x = 928,467.55/1,107.31
  6. Step 6: Final answer
    x = 838.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.