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Finding the Fourth Proportional to 1,131.73, 1,698.13 and 401.65

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Solution

The fourth proportional to 1,131.73, 1,698.13 and 401.65 is: 602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.73 : 1,698.13 = 401.65 : x
  2. Step 2: Convert to fraction form
    1,131.73/1,698.13 = 401.65/x
  3. Step 3: Cross multiply
    1,131.73x = 1,698.13 × 401.65
  4. Step 4: Simplify right side
    1,131.73x = 682,048.67
  5. Step 5: Solve for x
    x = 682,048.67/1,131.73
  6. Step 6: Final answer
    x = 602.66

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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.