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Finding the Fourth Proportional to 1,109.57, 1,664.33 and 493.11

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Solution

The fourth proportional to 1,109.57, 1,664.33 and 493.11 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.57 : 1,664.33 = 493.11 : x
  2. Step 2: Convert to fraction form
    1,109.57/1,664.33 = 493.11/x
  3. Step 3: Cross multiply
    1,109.57x = 1,664.33 × 493.11
  4. Step 4: Simplify right side
    1,109.57x = 820,695.30
  5. Step 5: Solve for x
    x = 820,695.30/1,109.57
  6. Step 6: Final answer
    x = 739.66

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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.