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Finding the Fourth Proportional to 772.77, 1,159.19 and 285.56

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Solution

The fourth proportional to 772.77, 1,159.19 and 285.56 is: 428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.77 : 1,159.19 = 285.56 : x
  2. Step 2: Convert to fraction form
    772.77/1,159.19 = 285.56/x
  3. Step 3: Cross multiply
    772.77x = 1,159.19 × 285.56
  4. Step 4: Simplify right side
    772.77x = 331,018.30
  5. Step 5: Solve for x
    x = 331,018.30/772.77
  6. Step 6: Final answer
    x = 428.35

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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.