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Finding the Fourth Proportional to 892.81, 1,232.08 and 494.50

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Solution

The fourth proportional to 892.81, 1,232.08 and 494.50 is: 682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.81 : 1,232.08 = 494.50 : x
  2. Step 2: Convert to fraction form
    892.81/1,232.08 = 494.50/x
  3. Step 3: Cross multiply
    892.81x = 1,232.08 × 494.50
  4. Step 4: Simplify right side
    892.81x = 609,263.56
  5. Step 5: Solve for x
    x = 609,263.56/892.81
  6. Step 6: Final answer
    x = 682.41

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1.5x scale

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.