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Finding the Fourth Proportional to 1,176.93, 1,623.42 and 757.83

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Solution

The fourth proportional to 1,176.93, 1,623.42 and 757.83 is: 1,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.93 : 1,623.42 = 757.83 : x
  2. Step 2: Convert to fraction form
    1,176.93/1,623.42 = 757.83/x
  3. Step 3: Cross multiply
    1,176.93x = 1,623.42 × 757.83
  4. Step 4: Simplify right side
    1,176.93x = 1,230,276.38
  5. Step 5: Solve for x
    x = 1,230,276.38/1,176.93
  6. Step 6: Final answer
    x = 1,045.33

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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.