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Finding the Fourth Proportional to 910.86, 1,257.05 and 517.96

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Solution

The fourth proportional to 910.86, 1,257.05 and 517.96 is: 714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.86 : 1,257.05 = 517.96 : x
  2. Step 2: Convert to fraction form
    910.86/1,257.05 = 517.96/x
  3. Step 3: Cross multiply
    910.86x = 1,257.05 × 517.96
  4. Step 4: Simplify right side
    910.86x = 651,101.62
  5. Step 5: Solve for x
    x = 651,101.62/910.86
  6. Step 6: Final answer
    x = 714.82

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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.