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Finding the Fourth Proportional to 712.99, 1,069.69 and 439.41

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Solution

The fourth proportional to 712.99, 1,069.69 and 439.41 is: 659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.99 : 1,069.69 = 439.41 : x
  2. Step 2: Convert to fraction form
    712.99/1,069.69 = 439.41/x
  3. Step 3: Cross multiply
    712.99x = 1,069.69 × 439.41
  4. Step 4: Simplify right side
    712.99x = 470,032.48
  5. Step 5: Solve for x
    x = 470,032.48/712.99
  6. Step 6: Final answer
    x = 659.24

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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.