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Finding the Fourth Proportional to 892.57, 1,231.80 and 499.72

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Solution

The fourth proportional to 892.57, 1,231.80 and 499.72 is: 689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.57 : 1,231.80 = 499.72 : x
  2. Step 2: Convert to fraction form
    892.57/1,231.80 = 499.72/x
  3. Step 3: Cross multiply
    892.57x = 1,231.80 × 499.72
  4. Step 4: Simplify right side
    892.57x = 615,550.77
  5. Step 5: Solve for x
    x = 615,550.77/892.57
  6. Step 6: Final answer
    x = 689.64

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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.