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Finding the Fourth Proportional to 1,176.87, 1,623.67 and 757.47

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Solution

The fourth proportional to 1,176.87, 1,623.67 and 757.47 is: 1,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.87 : 1,623.67 = 757.47 : x
  2. Step 2: Convert to fraction form
    1,176.87/1,623.67 = 757.47/x
  3. Step 3: Cross multiply
    1,176.87x = 1,623.67 × 757.47
  4. Step 4: Simplify right side
    1,176.87x = 1,229,876.38
  5. Step 5: Solve for x
    x = 1,229,876.38/1,176.87
  6. Step 6: Final answer
    x = 1,045.04

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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.