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Finding the Fourth Proportional to 1,176.85, 1,624.00 and 679.65

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Solution

The fourth proportional to 1,176.85, 1,624.00 and 679.65 is: 937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.85 : 1,624.00 = 679.65 : x
  2. Step 2: Convert to fraction form
    1,176.85/1,624.00 = 679.65/x
  3. Step 3: Cross multiply
    1,176.85x = 1,624.00 × 679.65
  4. Step 4: Simplify right side
    1,176.85x = 1,103,745.58
  5. Step 5: Solve for x
    x = 1,103,745.58/1,176.85
  6. Step 6: Final answer
    x = 937.88

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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.