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Finding the Fourth Proportional to 712.83, 1,069.25 and 219.24

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Solution

The fourth proportional to 712.83, 1,069.25 and 219.24 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.83 : 1,069.25 = 219.24 : x
  2. Step 2: Convert to fraction form
    712.83/1,069.25 = 219.24/x
  3. Step 3: Cross multiply
    712.83x = 1,069.25 × 219.24
  4. Step 4: Simplify right side
    712.83x = 234,421.27
  5. Step 5: Solve for x
    x = 234,421.27/712.83
  6. Step 6: Final answer
    x = 328.86

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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.