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Finding the Fourth Proportional to 1,139.92, 1,709.66 and 409.44

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Solution

The fourth proportional to 1,139.92, 1,709.66 and 409.44 is: 614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.92 : 1,709.66 = 409.44 : x
  2. Step 2: Convert to fraction form
    1,139.92/1,709.66 = 409.44/x
  3. Step 3: Cross multiply
    1,139.92x = 1,709.66 × 409.44
  4. Step 4: Simplify right side
    1,139.92x = 700,003.19
  5. Step 5: Solve for x
    x = 700,003.19/1,139.92
  6. Step 6: Final answer
    x = 614.08

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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.