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Finding the Fourth Proportional to 773.16, 1,159.89 and 340.31

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Solution

The fourth proportional to 773.16, 1,159.89 and 340.31 is: 510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.16 : 1,159.89 = 340.31 : x
  2. Step 2: Convert to fraction form
    773.16/1,159.89 = 340.31/x
  3. Step 3: Cross multiply
    773.16x = 1,159.89 × 340.31
  4. Step 4: Simplify right side
    773.16x = 394,723.79
  5. Step 5: Solve for x
    x = 394,723.79/773.16
  6. Step 6: Final answer
    x = 510.54

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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.