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Finding the Fourth Proportional to 1,204.94, 1,802.86 and 734.74

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Solution

The fourth proportional to 1,204.94, 1,802.86 and 734.74 is: 1,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.94 : 1,802.86 = 734.74 : x
  2. Step 2: Convert to fraction form
    1,204.94/1,802.86 = 734.74/x
  3. Step 3: Cross multiply
    1,204.94x = 1,802.86 × 734.74
  4. Step 4: Simplify right side
    1,204.94x = 1,324,627.01
  5. Step 5: Solve for x
    x = 1,324,627.01/1,204.94
  6. Step 6: Final answer
    x = 1,099.33

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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.