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Finding the Fourth Proportional to 774.43, 1,165.87 and 706.39

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Solution

The fourth proportional to 774.43, 1,165.87 and 706.39 is: 1,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.43 : 1,165.87 = 706.39 : x
  2. Step 2: Convert to fraction form
    774.43/1,165.87 = 706.39/x
  3. Step 3: Cross multiply
    774.43x = 1,165.87 × 706.39
  4. Step 4: Simplify right side
    774.43x = 823,549.55
  5. Step 5: Solve for x
    x = 823,549.55/774.43
  6. Step 6: Final answer
    x = 1,063.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.