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Finding the Fourth Proportional to 773.25, 1,159.89 and 260.25

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Solution

The fourth proportional to 773.25, 1,159.89 and 260.25 is: 390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.25 : 1,159.89 = 260.25 : x
  2. Step 2: Convert to fraction form
    773.25/1,159.89 = 260.25/x
  3. Step 3: Cross multiply
    773.25x = 1,159.89 × 260.25
  4. Step 4: Simplify right side
    773.25x = 301,860.07
  5. Step 5: Solve for x
    x = 301,860.07/773.25
  6. Step 6: Final answer
    x = 390.38

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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.