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Finding the Fourth Proportional to 1,189, 1,640.90 and 657.93

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Solution

The fourth proportional to 1,189, 1,640.90 and 657.93 is: 907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189 : 1,640.90 = 657.93 : x
  2. Step 2: Convert to fraction form
    1,189/1,640.90 = 657.93/x
  3. Step 3: Cross multiply
    1,189x = 1,640.90 × 657.93
  4. Step 4: Simplify right side
    1,189x = 1,079,597.34
  5. Step 5: Solve for x
    x = 1,079,597.34/1,189
  6. Step 6: Final answer
    x = 907.99

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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.