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Finding the Fourth Proportional to 1,409.71, 2,113.81 and 825.85

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Solution

The fourth proportional to 1,409.71, 2,113.81 and 825.85 is: 1,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.71 : 2,113.81 = 825.85 : x
  2. Step 2: Convert to fraction form
    1,409.71/2,113.81 = 825.85/x
  3. Step 3: Cross multiply
    1,409.71x = 2,113.81 × 825.85
  4. Step 4: Simplify right side
    1,409.71x = 1,745,689.99
  5. Step 5: Solve for x
    x = 1,745,689.99/1,409.71
  6. Step 6: Final answer
    x = 1,238.33

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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.