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Finding the Fourth Proportional to 712.55, 1,069.38 and 301.97

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Solution

The fourth proportional to 712.55, 1,069.38 and 301.97 is: 453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.55 : 1,069.38 = 301.97 : x
  2. Step 2: Convert to fraction form
    712.55/1,069.38 = 301.97/x
  3. Step 3: Cross multiply
    712.55x = 1,069.38 × 301.97
  4. Step 4: Simplify right side
    712.55x = 322,915.33
  5. Step 5: Solve for x
    x = 322,915.33/712.55
  6. Step 6: Final answer
    x = 453.19

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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.