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Finding the Fourth Proportional to 1,297.65, 1,790.05 and 773.31

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Solution

The fourth proportional to 1,297.65, 1,790.05 and 773.31 is: 1,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.65 : 1,790.05 = 773.31 : x
  2. Step 2: Convert to fraction form
    1,297.65/1,790.05 = 773.31/x
  3. Step 3: Cross multiply
    1,297.65x = 1,790.05 × 773.31
  4. Step 4: Simplify right side
    1,297.65x = 1,384,263.57
  5. Step 5: Solve for x
    x = 1,384,263.57/1,297.65
  6. Step 6: Final answer
    x = 1,066.75

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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.