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Finding the Fourth Proportional to 896.79, 1,237.55 and 617.34

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Solution

The fourth proportional to 896.79, 1,237.55 and 617.34 is: 851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.79 : 1,237.55 = 617.34 : x
  2. Step 2: Convert to fraction form
    896.79/1,237.55 = 617.34/x
  3. Step 3: Cross multiply
    896.79x = 1,237.55 × 617.34
  4. Step 4: Simplify right side
    896.79x = 763,990.67
  5. Step 5: Solve for x
    x = 763,990.67/896.79
  6. Step 6: Final answer
    x = 851.91

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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.