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Finding the Fourth Proportional to 1,109.40, 1,663.11 and 459.69

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Solution

The fourth proportional to 1,109.40, 1,663.11 and 459.69 is: 689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.40 : 1,663.11 = 459.69 : x
  2. Step 2: Convert to fraction form
    1,109.40/1,663.11 = 459.69/x
  3. Step 3: Cross multiply
    1,109.40x = 1,663.11 × 459.69
  4. Step 4: Simplify right side
    1,109.40x = 764,515.04
  5. Step 5: Solve for x
    x = 764,515.04/1,109.40
  6. Step 6: Final answer
    x = 689.12

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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.