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Finding the Fourth Proportional to 892.75, 1,232.06 and 494.45

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Solution

The fourth proportional to 892.75, 1,232.06 and 494.45 is: 682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.75 : 1,232.06 = 494.45 : x
  2. Step 2: Convert to fraction form
    892.75/1,232.06 = 494.45/x
  3. Step 3: Cross multiply
    892.75x = 1,232.06 × 494.45
  4. Step 4: Simplify right side
    892.75x = 609,192.07
  5. Step 5: Solve for x
    x = 609,192.07/892.75
  6. Step 6: Final answer
    x = 682.38

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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.