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Finding the Fourth Proportional to 712.84, 1,068.70 and 301.96

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Solution

The fourth proportional to 712.84, 1,068.70 and 301.96 is: 452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.84 : 1,068.70 = 301.96 : x
  2. Step 2: Convert to fraction form
    712.84/1,068.70 = 301.96/x
  3. Step 3: Cross multiply
    712.84x = 1,068.70 × 301.96
  4. Step 4: Simplify right side
    712.84x = 322,704.65
  5. Step 5: Solve for x
    x = 322,704.65/712.84
  6. Step 6: Final answer
    x = 452.70

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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.