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Finding the Fourth Proportional to 1,188.82, 1,640.46 and 740.65

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Solution

The fourth proportional to 1,188.82, 1,640.46 and 740.65 is: 1,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.82 : 1,640.46 = 740.65 : x
  2. Step 2: Convert to fraction form
    1,188.82/1,640.46 = 740.65/x
  3. Step 3: Cross multiply
    1,188.82x = 1,640.46 × 740.65
  4. Step 4: Simplify right side
    1,188.82x = 1,215,006.70
  5. Step 5: Solve for x
    x = 1,215,006.70/1,188.82
  6. Step 6: Final answer
    x = 1,022.03

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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.