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Finding the Fourth Proportional to 712.45, 1,068.84 and 301.61

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Solution

The fourth proportional to 712.45, 1,068.84 and 301.61 is: 452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.45 : 1,068.84 = 301.61 : x
  2. Step 2: Convert to fraction form
    712.45/1,068.84 = 301.61/x
  3. Step 3: Cross multiply
    712.45x = 1,068.84 × 301.61
  4. Step 4: Simplify right side
    712.45x = 322,372.83
  5. Step 5: Solve for x
    x = 322,372.83/712.45
  6. Step 6: Final answer
    x = 452.48

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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.