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Finding the Fourth Proportional to 712.71, 1,069.44 and 322.88

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Solution

The fourth proportional to 712.71, 1,069.44 and 322.88 is: 484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.71 : 1,069.44 = 322.88 : x
  2. Step 2: Convert to fraction form
    712.71/1,069.44 = 322.88/x
  3. Step 3: Cross multiply
    712.71x = 1,069.44 × 322.88
  4. Step 4: Simplify right side
    712.71x = 345,294.23
  5. Step 5: Solve for x
    x = 345,294.23/712.71
  6. Step 6: Final answer
    x = 484.48

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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.