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Finding the Fourth Proportional to 896.81, 1,237.19 and 617.40

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Solution

The fourth proportional to 896.81, 1,237.19 and 617.40 is: 851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.81 : 1,237.19 = 617.40 : x
  2. Step 2: Convert to fraction form
    896.81/1,237.19 = 617.40/x
  3. Step 3: Cross multiply
    896.81x = 1,237.19 × 617.40
  4. Step 4: Simplify right side
    896.81x = 763,838.02
  5. Step 5: Solve for x
    x = 763,838.02/896.81
  6. Step 6: Final answer
    x = 851.73

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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.