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Finding the Fourth Proportional to 1,139.93, 1,709.40 and 409.49

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Solution

The fourth proportional to 1,139.93, 1,709.40 and 409.49 is: 614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.93 : 1,709.40 = 409.49 : x
  2. Step 2: Convert to fraction form
    1,139.93/1,709.40 = 409.49/x
  3. Step 3: Cross multiply
    1,139.93x = 1,709.40 × 409.49
  4. Step 4: Simplify right side
    1,139.93x = 699,982.21
  5. Step 5: Solve for x
    x = 699,982.21/1,139.93
  6. Step 6: Final answer
    x = 614.06

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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.