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Finding the Fourth Proportional to 896.32, 1,237 and 523.42

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Solution

The fourth proportional to 896.32, 1,237 and 523.42 is: 722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.32 : 1,237 = 523.42 : x
  2. Step 2: Convert to fraction form
    896.32/1,237 = 523.42/x
  3. Step 3: Cross multiply
    896.32x = 1,237 × 523.42
  4. Step 4: Simplify right side
    896.32x = 647,470.54
  5. Step 5: Solve for x
    x = 647,470.54/896.32
  6. Step 6: Final answer
    x = 722.37

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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.