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Finding the Fourth Proportional to 772.14, 1,158.14 and 285.50

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Solution

The fourth proportional to 772.14, 1,158.14 and 285.50 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.14 : 1,158.14 = 285.50 : x
  2. Step 2: Convert to fraction form
    772.14/1,158.14 = 285.50/x
  3. Step 3: Cross multiply
    772.14x = 1,158.14 × 285.50
  4. Step 4: Simplify right side
    772.14x = 330,648.97
  5. Step 5: Solve for x
    x = 330,648.97/772.14
  6. Step 6: Final answer
    x = 428.22

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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.