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Finding the Fourth Proportional to 910.97, 1,257.14 and 517.99

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Solution

The fourth proportional to 910.97, 1,257.14 and 517.99 is: 714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.97 : 1,257.14 = 517.99 : x
  2. Step 2: Convert to fraction form
    910.97/1,257.14 = 517.99/x
  3. Step 3: Cross multiply
    910.97x = 1,257.14 × 517.99
  4. Step 4: Simplify right side
    910.97x = 651,185.95
  5. Step 5: Solve for x
    x = 651,185.95/910.97
  6. Step 6: Final answer
    x = 714.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.