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Finding the Fourth Proportional to 1,188.52, 1,640.17 and 657.39

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Solution

The fourth proportional to 1,188.52, 1,640.17 and 657.39 is: 907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.52 : 1,640.17 = 657.39 : x
  2. Step 2: Convert to fraction form
    1,188.52/1,640.17 = 657.39/x
  3. Step 3: Cross multiply
    1,188.52x = 1,640.17 × 657.39
  4. Step 4: Simplify right side
    1,188.52x = 1,078,231.36
  5. Step 5: Solve for x
    x = 1,078,231.36/1,188.52
  6. Step 6: Final answer
    x = 907.21

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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.