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Finding the Fourth Proportional to 1,176.72, 1,623.67 and 679.38

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Solution

The fourth proportional to 1,176.72, 1,623.67 and 679.38 is: 937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.72 : 1,623.67 = 679.38 : x
  2. Step 2: Convert to fraction form
    1,176.72/1,623.67 = 679.38/x
  3. Step 3: Cross multiply
    1,176.72x = 1,623.67 × 679.38
  4. Step 4: Simplify right side
    1,176.72x = 1,103,088.92
  5. Step 5: Solve for x
    x = 1,103,088.92/1,176.72
  6. Step 6: Final answer
    x = 937.43

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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.