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Finding the Fourth Proportional to 1,419.62, 2,129.64 and 689.24

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Solution

The fourth proportional to 1,419.62, 2,129.64 and 689.24 is: 1,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.62 : 2,129.64 = 689.24 : x
  2. Step 2: Convert to fraction form
    1,419.62/2,129.64 = 689.24/x
  3. Step 3: Cross multiply
    1,419.62x = 2,129.64 × 689.24
  4. Step 4: Simplify right side
    1,419.62x = 1,467,833.07
  5. Step 5: Solve for x
    x = 1,467,833.07/1,419.62
  6. Step 6: Final answer
    x = 1,033.96

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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.