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Finding the Fourth Proportional to 1,139.00, 1,708.97 and 408.65

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Solution

The fourth proportional to 1,139.00, 1,708.97 and 408.65 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.00 : 1,708.97 = 408.65 : x
  2. Step 2: Convert to fraction form
    1,139.00/1,708.97 = 408.65/x
  3. Step 3: Cross multiply
    1,139.00x = 1,708.97 × 408.65
  4. Step 4: Simplify right side
    1,139.00x = 698,360.00
  5. Step 5: Solve for x
    x = 698,360.00/1,139.00
  6. Step 6: Final answer
    x = 613.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.