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Finding the Fourth Proportional to 892.41, 1,232.06 and 577.77

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Solution

The fourth proportional to 892.41, 1,232.06 and 577.77 is: 797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.41 : 1,232.06 = 577.77 : x
  2. Step 2: Convert to fraction form
    892.41/1,232.06 = 577.77/x
  3. Step 3: Cross multiply
    892.41x = 1,232.06 × 577.77
  4. Step 4: Simplify right side
    892.41x = 711,844.42
  5. Step 5: Solve for x
    x = 711,844.42/892.41
  6. Step 6: Final answer
    x = 797.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.