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Finding the Fourth Proportional to 712.55, 1,068.10 and 301.79

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Solution

The fourth proportional to 712.55, 1,068.10 and 301.79 is: 452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.55 : 1,068.10 = 301.79 : x
  2. Step 2: Convert to fraction form
    712.55/1,068.10 = 301.79/x
  3. Step 3: Cross multiply
    712.55x = 1,068.10 × 301.79
  4. Step 4: Simplify right side
    712.55x = 322,335.80
  5. Step 5: Solve for x
    x = 322,335.80/712.55
  6. Step 6: Final answer
    x = 452.37

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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.