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Finding the Fourth Proportional to 1,188.57, 1,640.24 and 657.43

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Solution

The fourth proportional to 1,188.57, 1,640.24 and 657.43 is: 907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.57 : 1,640.24 = 657.43 : x
  2. Step 2: Convert to fraction form
    1,188.57/1,640.24 = 657.43/x
  3. Step 3: Cross multiply
    1,188.57x = 1,640.24 × 657.43
  4. Step 4: Simplify right side
    1,188.57x = 1,078,333.14
  5. Step 5: Solve for x
    x = 1,078,333.14/1,188.57
  6. Step 6: Final answer
    x = 907.25

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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.