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Finding the Fourth Proportional to 825.77, 1,237.74 and 663.57

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Solution

The fourth proportional to 825.77, 1,237.74 and 663.57 is: 994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.77 : 1,237.74 = 663.57 : x
  2. Step 2: Convert to fraction form
    825.77/1,237.74 = 663.57/x
  3. Step 3: Cross multiply
    825.77x = 1,237.74 × 663.57
  4. Step 4: Simplify right side
    825.77x = 821,327.13
  5. Step 5: Solve for x
    x = 821,327.13/825.77
  6. Step 6: Final answer
    x = 994.62

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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.