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Finding the Fourth Proportional to 1,107.89, 1,660.79 and 559.46

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Solution

The fourth proportional to 1,107.89, 1,660.79 and 559.46 is: 838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.89 : 1,660.79 = 559.46 : x
  2. Step 2: Convert to fraction form
    1,107.89/1,660.79 = 559.46/x
  3. Step 3: Cross multiply
    1,107.89x = 1,660.79 × 559.46
  4. Step 4: Simplify right side
    1,107.89x = 929,138.67
  5. Step 5: Solve for x
    x = 929,138.67/1,107.89
  6. Step 6: Final answer
    x = 838.65

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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.