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Finding the Fourth Proportional to 1,206.26, 1,664.66 and 734.18

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Solution

The fourth proportional to 1,206.26, 1,664.66 and 734.18 is: 1,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.26 : 1,664.66 = 734.18 : x
  2. Step 2: Convert to fraction form
    1,206.26/1,664.66 = 734.18/x
  3. Step 3: Cross multiply
    1,206.26x = 1,664.66 × 734.18
  4. Step 4: Simplify right side
    1,206.26x = 1,222,151.76
  5. Step 5: Solve for x
    x = 1,222,151.76/1,206.26
  6. Step 6: Final answer
    x = 1,013.17

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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.