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Finding the Fourth Proportional to 1,131.23, 1,696.42 and 390.65

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Solution

The fourth proportional to 1,131.23, 1,696.42 and 390.65 is: 585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.23 : 1,696.42 = 390.65 : x
  2. Step 2: Convert to fraction form
    1,131.23/1,696.42 = 390.65/x
  3. Step 3: Cross multiply
    1,131.23x = 1,696.42 × 390.65
  4. Step 4: Simplify right side
    1,131.23x = 662,706.73
  5. Step 5: Solve for x
    x = 662,706.73/1,131.23
  6. Step 6: Final answer
    x = 585.83

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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.