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Finding the Fourth Proportional to 1,206.26, 1,664.64 and 734.11

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Solution

The fourth proportional to 1,206.26, 1,664.64 and 734.11 is: 1,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.26 : 1,664.64 = 734.11 : x
  2. Step 2: Convert to fraction form
    1,206.26/1,664.64 = 734.11/x
  3. Step 3: Cross multiply
    1,206.26x = 1,664.64 × 734.11
  4. Step 4: Simplify right side
    1,206.26x = 1,222,028.87
  5. Step 5: Solve for x
    x = 1,222,028.87/1,206.26
  6. Step 6: Final answer
    x = 1,013.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.