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Finding the Fourth Proportional to 772.84, 1,159.23 and 285.70

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Solution

The fourth proportional to 772.84, 1,159.23 and 285.70 is: 428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.84 : 1,159.23 = 285.70 : x
  2. Step 2: Convert to fraction form
    772.84/1,159.23 = 285.70/x
  3. Step 3: Cross multiply
    772.84x = 1,159.23 × 285.70
  4. Step 4: Simplify right side
    772.84x = 331,192.01
  5. Step 5: Solve for x
    x = 331,192.01/772.84
  6. Step 6: Final answer
    x = 428.54

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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.