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Finding the Fourth Proportional to 1,188.43, 1,640.12 and 657.42

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Solution

The fourth proportional to 1,188.43, 1,640.12 and 657.42 is: 907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.43 : 1,640.12 = 657.42 : x
  2. Step 2: Convert to fraction form
    1,188.43/1,640.12 = 657.42/x
  3. Step 3: Cross multiply
    1,188.43x = 1,640.12 × 657.42
  4. Step 4: Simplify right side
    1,188.43x = 1,078,247.69
  5. Step 5: Solve for x
    x = 1,078,247.69/1,188.43
  6. Step 6: Final answer
    x = 907.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.