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Finding the Fourth Proportional to 773.26, 1,159.80 and 730.42

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Solution

The fourth proportional to 773.26, 1,159.80 and 730.42 is: 1,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.26 : 1,159.80 = 730.42 : x
  2. Step 2: Convert to fraction form
    773.26/1,159.80 = 730.42/x
  3. Step 3: Cross multiply
    773.26x = 1,159.80 × 730.42
  4. Step 4: Simplify right side
    773.26x = 847,141.12
  5. Step 5: Solve for x
    x = 847,141.12/773.26
  6. Step 6: Final answer
    x = 1,095.54

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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.