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Finding the Fourth Proportional to 847.82, 1,170.52 and 552.98

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Solution

The fourth proportional to 847.82, 1,170.52 and 552.98 is: 763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.82 : 1,170.52 = 552.98 : x
  2. Step 2: Convert to fraction form
    847.82/1,170.52 = 552.98/x
  3. Step 3: Cross multiply
    847.82x = 1,170.52 × 552.98
  4. Step 4: Simplify right side
    847.82x = 647,274.15
  5. Step 5: Solve for x
    x = 647,274.15/847.82
  6. Step 6: Final answer
    x = 763.46

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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.