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Finding the Fourth Proportional to 773.42, 1,159.86 and 311.08

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Solution

The fourth proportional to 773.42, 1,159.86 and 311.08 is: 466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.42 : 1,159.86 = 311.08 : x
  2. Step 2: Convert to fraction form
    773.42/1,159.86 = 311.08/x
  3. Step 3: Cross multiply
    773.42x = 1,159.86 × 311.08
  4. Step 4: Simplify right side
    773.42x = 360,806.35
  5. Step 5: Solve for x
    x = 360,806.35/773.42
  6. Step 6: Final answer
    x = 466.51

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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.