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Finding the Fourth Proportional to 1,109.45, 1,662.89 and 459.38

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Solution

The fourth proportional to 1,109.45, 1,662.89 and 459.38 is: 688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.45 : 1,662.89 = 459.38 : x
  2. Step 2: Convert to fraction form
    1,109.45/1,662.89 = 459.38/x
  3. Step 3: Cross multiply
    1,109.45x = 1,662.89 × 459.38
  4. Step 4: Simplify right side
    1,109.45x = 763,887.80
  5. Step 5: Solve for x
    x = 763,887.80/1,109.45
  6. Step 6: Final answer
    x = 688.53

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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.