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Finding the Fourth Proportional to 1,109.57, 1,664.33 and 287.84

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Solution

The fourth proportional to 1,109.57, 1,664.33 and 287.84 is: 431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.57 : 1,664.33 = 287.84 : x
  2. Step 2: Convert to fraction form
    1,109.57/1,664.33 = 287.84/x
  3. Step 3: Cross multiply
    1,109.57x = 1,664.33 × 287.84
  4. Step 4: Simplify right side
    1,109.57x = 479,060.75
  5. Step 5: Solve for x
    x = 479,060.75/1,109.57
  6. Step 6: Final answer
    x = 431.75

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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.