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Finding the Fourth Proportional to 715.97, 1,072.57 and 471.76

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Solution

The fourth proportional to 715.97, 1,072.57 and 471.76 is: 706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.97 : 1,072.57 = 471.76 : x
  2. Step 2: Convert to fraction form
    715.97/1,072.57 = 471.76/x
  3. Step 3: Cross multiply
    715.97x = 1,072.57 × 471.76
  4. Step 4: Simplify right side
    715.97x = 505,995.62
  5. Step 5: Solve for x
    x = 505,995.62/715.97
  6. Step 6: Final answer
    x = 706.73

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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.