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Finding the Fourth Proportional to 1,189.03, 1,640.84 and 657.94

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Solution

The fourth proportional to 1,189.03, 1,640.84 and 657.94 is: 907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.03 : 1,640.84 = 657.94 : x
  2. Step 2: Convert to fraction form
    1,189.03/1,640.84 = 657.94/x
  3. Step 3: Cross multiply
    1,189.03x = 1,640.84 × 657.94
  4. Step 4: Simplify right side
    1,189.03x = 1,079,574.27
  5. Step 5: Solve for x
    x = 1,079,574.27/1,189.03
  6. Step 6: Final answer
    x = 907.95

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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.