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Finding the Fourth Proportional to 1,439.49, 2,159.49 and 709.07

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Solution

The fourth proportional to 1,439.49, 2,159.49 and 709.07 is: 1,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.49 : 2,159.49 = 709.07 : x
  2. Step 2: Convert to fraction form
    1,439.49/2,159.49 = 709.07/x
  3. Step 3: Cross multiply
    1,439.49x = 2,159.49 × 709.07
  4. Step 4: Simplify right side
    1,439.49x = 1,531,222.98
  5. Step 5: Solve for x
    x = 1,531,222.98/1,439.49
  6. Step 6: Final answer
    x = 1,063.73

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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.