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Finding the Fourth Proportional to 1,439.24, 2,158.05 and 709.16

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Solution

The fourth proportional to 1,439.24, 2,158.05 and 709.16 is: 1,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.24 : 2,158.05 = 709.16 : x
  2. Step 2: Convert to fraction form
    1,439.24/2,158.05 = 709.16/x
  3. Step 3: Cross multiply
    1,439.24x = 2,158.05 × 709.16
  4. Step 4: Simplify right side
    1,439.24x = 1,530,402.74
  5. Step 5: Solve for x
    x = 1,530,402.74/1,439.24
  6. Step 6: Final answer
    x = 1,063.34

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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.