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Finding the Fourth Proportional to 1,076.05, 1,614.23 and 459.75

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Solution

The fourth proportional to 1,076.05, 1,614.23 and 459.75 is: 689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.05 : 1,614.23 = 459.75 : x
  2. Step 2: Convert to fraction form
    1,076.05/1,614.23 = 459.75/x
  3. Step 3: Cross multiply
    1,076.05x = 1,614.23 × 459.75
  4. Step 4: Simplify right side
    1,076.05x = 742,143.39
  5. Step 5: Solve for x
    x = 742,143.39/1,076.05
  6. Step 6: Final answer
    x = 689.69

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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.