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Finding the Fourth Proportional to 985.27, 1,477.96 and 254.85

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Solution

The fourth proportional to 985.27, 1,477.96 and 254.85 is: 382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.27 : 1,477.96 = 254.85 : x
  2. Step 2: Convert to fraction form
    985.27/1,477.96 = 254.85/x
  3. Step 3: Cross multiply
    985.27x = 1,477.96 × 254.85
  4. Step 4: Simplify right side
    985.27x = 376,658.11
  5. Step 5: Solve for x
    x = 376,658.11/985.27
  6. Step 6: Final answer
    x = 382.29

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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.