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Finding the Fourth Proportional to 772.46, 1,159.14 and 285.85

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Solution

The fourth proportional to 772.46, 1,159.14 and 285.85 is: 428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.46 : 1,159.14 = 285.85 : x
  2. Step 2: Convert to fraction form
    772.46/1,159.14 = 285.85/x
  3. Step 3: Cross multiply
    772.46x = 1,159.14 × 285.85
  4. Step 4: Simplify right side
    772.46x = 331,340.17
  5. Step 5: Solve for x
    x = 331,340.17/772.46
  6. Step 6: Final answer
    x = 428.94

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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.