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Finding the Fourth Proportional to 707.41, 1,060.96 and 268.57

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Solution

The fourth proportional to 707.41, 1,060.96 and 268.57 is: 402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.41 : 1,060.96 = 268.57 : x
  2. Step 2: Convert to fraction form
    707.41/1,060.96 = 268.57/x
  3. Step 3: Cross multiply
    707.41x = 1,060.96 × 268.57
  4. Step 4: Simplify right side
    707.41x = 284,940.68
  5. Step 5: Solve for x
    x = 284,940.68/707.41
  6. Step 6: Final answer
    x = 402.79

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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.