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Finding the Fourth Proportional to 773.22, 1,159.84 and 260.22

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Solution

The fourth proportional to 773.22, 1,159.84 and 260.22 is: 390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.22 : 1,159.84 = 260.22 : x
  2. Step 2: Convert to fraction form
    773.22/1,159.84 = 260.22/x
  3. Step 3: Cross multiply
    773.22x = 1,159.84 × 260.22
  4. Step 4: Simplify right side
    773.22x = 301,812.26
  5. Step 5: Solve for x
    x = 301,812.26/773.22
  6. Step 6: Final answer
    x = 390.33

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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.