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Finding the Fourth Proportional to 1,188.96, 1,640.77 and 657.88

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Solution

The fourth proportional to 1,188.96, 1,640.77 and 657.88 is: 907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.96 : 1,640.77 = 657.88 : x
  2. Step 2: Convert to fraction form
    1,188.96/1,640.77 = 657.88/x
  3. Step 3: Cross multiply
    1,188.96x = 1,640.77 × 657.88
  4. Step 4: Simplify right side
    1,188.96x = 1,079,429.77
  5. Step 5: Solve for x
    x = 1,079,429.77/1,188.96
  6. Step 6: Final answer
    x = 907.88

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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.