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Finding the Fourth Proportional to 892.35, 1,231.44 and 499.35

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Solution

The fourth proportional to 892.35, 1,231.44 and 499.35 is: 689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.35 : 1,231.44 = 499.35 : x
  2. Step 2: Convert to fraction form
    892.35/1,231.44 = 499.35/x
  3. Step 3: Cross multiply
    892.35x = 1,231.44 × 499.35
  4. Step 4: Simplify right side
    892.35x = 614,919.56
  5. Step 5: Solve for x
    x = 614,919.56/892.35
  6. Step 6: Final answer
    x = 689.10

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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.