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Finding the Fourth Proportional to 910.82, 1,256.98 and 517.97

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Solution

The fourth proportional to 910.82, 1,256.98 and 517.97 is: 714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.82 : 1,256.98 = 517.97 : x
  2. Step 2: Convert to fraction form
    910.82/1,256.98 = 517.97/x
  3. Step 3: Cross multiply
    910.82x = 1,256.98 × 517.97
  4. Step 4: Simplify right side
    910.82x = 651,077.93
  5. Step 5: Solve for x
    x = 651,077.93/910.82
  6. Step 6: Final answer
    x = 714.83

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