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Finding the Fourth Proportional to 772.88, 1,159.29 and 285.92

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Solution

The fourth proportional to 772.88, 1,159.29 and 285.92 is: 428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.88 : 1,159.29 = 285.92 : x
  2. Step 2: Convert to fraction form
    772.88/1,159.29 = 285.92/x
  3. Step 3: Cross multiply
    772.88x = 1,159.29 × 285.92
  4. Step 4: Simplify right side
    772.88x = 331,458.40
  5. Step 5: Solve for x
    x = 331,458.40/772.88
  6. Step 6: Final answer
    x = 428.86

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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.