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Finding the Fourth Proportional to 775.29, 1,161.92 and 666.35

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Solution

The fourth proportional to 775.29, 1,161.92 and 666.35 is: 998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.29 : 1,161.92 = 666.35 : x
  2. Step 2: Convert to fraction form
    775.29/1,161.92 = 666.35/x
  3. Step 3: Cross multiply
    775.29x = 1,161.92 × 666.35
  4. Step 4: Simplify right side
    775.29x = 774,239.58
  5. Step 5: Solve for x
    x = 774,239.58/775.29
  6. Step 6: Final answer
    x = 998.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.