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Finding the Fourth Proportional to 1,139.76, 1,708.56 and 409.14

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Solution

The fourth proportional to 1,139.76, 1,708.56 and 409.14 is: 613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.76 : 1,708.56 = 409.14 : x
  2. Step 2: Convert to fraction form
    1,139.76/1,708.56 = 409.14/x
  3. Step 3: Cross multiply
    1,139.76x = 1,708.56 × 409.14
  4. Step 4: Simplify right side
    1,139.76x = 699,040.24
  5. Step 5: Solve for x
    x = 699,040.24/1,139.76
  6. Step 6: Final answer
    x = 613.32

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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.