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Finding the Fourth Proportional to 786.43, 1,176.54 and 694.09

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Solution

The fourth proportional to 786.43, 1,176.54 and 694.09 is: 1,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.43 : 1,176.54 = 694.09 : x
  2. Step 2: Convert to fraction form
    786.43/1,176.54 = 694.09/x
  3. Step 3: Cross multiply
    786.43x = 1,176.54 × 694.09
  4. Step 4: Simplify right side
    786.43x = 816,624.65
  5. Step 5: Solve for x
    x = 816,624.65/786.43
  6. Step 6: Final answer
    x = 1,038.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.