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Finding the Fourth Proportional to 797.63, 1,100.75 and 517.98

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Solution

The fourth proportional to 797.63, 1,100.75 and 517.98 is: 714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.63 : 1,100.75 = 517.98 : x
  2. Step 2: Convert to fraction form
    797.63/1,100.75 = 517.98/x
  3. Step 3: Cross multiply
    797.63x = 1,100.75 × 517.98
  4. Step 4: Simplify right side
    797.63x = 570,166.49
  5. Step 5: Solve for x
    x = 570,166.49/797.63
  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.