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Finding the Fourth Proportional to 896.57, 1,237.42 and 523.77

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Solution

The fourth proportional to 896.57, 1,237.42 and 523.77 is: 722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.57 : 1,237.42 = 523.77 : x
  2. Step 2: Convert to fraction form
    896.57/1,237.42 = 523.77/x
  3. Step 3: Cross multiply
    896.57x = 1,237.42 × 523.77
  4. Step 4: Simplify right side
    896.57x = 648,123.47
  5. Step 5: Solve for x
    x = 648,123.47/896.57
  6. Step 6: Final answer
    x = 722.89

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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.