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Finding the Fourth Proportional to 1,109.57, 1,664.37 and 532.85

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Solution

The fourth proportional to 1,109.57, 1,664.37 and 532.85 is: 799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.57 : 1,664.37 = 532.85 : x
  2. Step 2: Convert to fraction form
    1,109.57/1,664.37 = 532.85/x
  3. Step 3: Cross multiply
    1,109.57x = 1,664.37 × 532.85
  4. Step 4: Simplify right side
    1,109.57x = 886,859.55
  5. Step 5: Solve for x
    x = 886,859.55/1,109.57
  6. Step 6: Final answer
    x = 799.28

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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.