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Finding the Fourth Proportional to 1,139.20, 1,708.63 and 408.67

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Solution

The fourth proportional to 1,139.20, 1,708.63 and 408.67 is: 612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.20 : 1,708.63 = 408.67 : x
  2. Step 2: Convert to fraction form
    1,139.20/1,708.63 = 408.67/x
  3. Step 3: Cross multiply
    1,139.20x = 1,708.63 × 408.67
  4. Step 4: Simplify right side
    1,139.20x = 698,265.82
  5. Step 5: Solve for x
    x = 698,265.82/1,139.20
  6. Step 6: Final answer
    x = 612.94

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