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Finding the Fourth Proportional to 1,188.59, 1,640.21 and 657.44

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Solution

The fourth proportional to 1,188.59, 1,640.21 and 657.44 is: 907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.59 : 1,640.21 = 657.44 : x
  2. Step 2: Convert to fraction form
    1,188.59/1,640.21 = 657.44/x
  3. Step 3: Cross multiply
    1,188.59x = 1,640.21 × 657.44
  4. Step 4: Simplify right side
    1,188.59x = 1,078,336.79
  5. Step 5: Solve for x
    x = 1,078,336.79/1,188.59
  6. Step 6: Final answer
    x = 907.24

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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.