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Finding the Fourth Proportional to 687.85, 943.05 and 675.56

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Solution

The fourth proportional to 687.85, 943.05 and 675.56 is: 926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.85 : 943.05 = 675.56 : x
  2. Step 2: Convert to fraction form
    687.85/943.05 = 675.56/x
  3. Step 3: Cross multiply
    687.85x = 943.05 × 675.56
  4. Step 4: Simplify right side
    687.85x = 637,091.75
  5. Step 5: Solve for x
    x = 637,091.75/687.85
  6. Step 6: Final answer
    x = 926.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.