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Finding the Fourth Proportional to 773.13, 1,159.67 and 286.17

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Solution

The fourth proportional to 773.13, 1,159.67 and 286.17 is: 429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.13 : 1,159.67 = 286.17 : x
  2. Step 2: Convert to fraction form
    773.13/1,159.67 = 286.17/x
  3. Step 3: Cross multiply
    773.13x = 1,159.67 × 286.17
  4. Step 4: Simplify right side
    773.13x = 331,855.53
  5. Step 5: Solve for x
    x = 331,855.53/773.13
  6. Step 6: Final answer
    x = 429.24

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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.