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Finding the Fourth Proportional to 825.60, 1,237.66 and 305.49

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Solution

The fourth proportional to 825.60, 1,237.66 and 305.49 is: 457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.60 : 1,237.66 = 305.49 : x
  2. Step 2: Convert to fraction form
    825.60/1,237.66 = 305.49/x
  3. Step 3: Cross multiply
    825.60x = 1,237.66 × 305.49
  4. Step 4: Simplify right side
    825.60x = 378,092.75
  5. Step 5: Solve for x
    x = 378,092.75/825.60
  6. Step 6: Final answer
    x = 457.96

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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.