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Finding the Fourth Proportional to 1,169.71, 1,754.83 and 621.77

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Solution

The fourth proportional to 1,169.71, 1,754.83 and 621.77 is: 932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.71 : 1,754.83 = 621.77 : x
  2. Step 2: Convert to fraction form
    1,169.71/1,754.83 = 621.77/x
  3. Step 3: Cross multiply
    1,169.71x = 1,754.83 × 621.77
  4. Step 4: Simplify right side
    1,169.71x = 1,091,092.65
  5. Step 5: Solve for x
    x = 1,091,092.65/1,169.71
  6. Step 6: Final answer
    x = 932.79

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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.