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Finding the Fourth Proportional to 786.87, 1,086.93 and 641.34

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Solution

The fourth proportional to 786.87, 1,086.93 and 641.34 is: 885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.87 : 1,086.93 = 641.34 : x
  2. Step 2: Convert to fraction form
    786.87/1,086.93 = 641.34/x
  3. Step 3: Cross multiply
    786.87x = 1,086.93 × 641.34
  4. Step 4: Simplify right side
    786.87x = 697,091.69
  5. Step 5: Solve for x
    x = 697,091.69/786.87
  6. Step 6: Final answer
    x = 885.90

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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.