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Finding the Fourth Proportional to 773.23, 1,159.57 and 310.89

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Solution

The fourth proportional to 773.23, 1,159.57 and 310.89 is: 466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.23 : 1,159.57 = 310.89 : x
  2. Step 2: Convert to fraction form
    773.23/1,159.57 = 310.89/x
  3. Step 3: Cross multiply
    773.23x = 1,159.57 × 310.89
  4. Step 4: Simplify right side
    773.23x = 360,497.94
  5. Step 5: Solve for x
    x = 360,497.94/773.23
  6. Step 6: Final answer
    x = 466.22

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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.