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Finding the Fourth Proportional to 1,150.84, 1,735.91 and 1,083.47

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Solution

The fourth proportional to 1,150.84, 1,735.91 and 1,083.47 is: 1,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.84 : 1,735.91 = 1,083.47 : x
  2. Step 2: Convert to fraction form
    1,150.84/1,735.91 = 1,083.47/x
  3. Step 3: Cross multiply
    1,150.84x = 1,735.91 × 1,083.47
  4. Step 4: Simplify right side
    1,150.84x = 1,880,806.41
  5. Step 5: Solve for x
    x = 1,880,806.41/1,150.84
  6. Step 6: Final answer
    x = 1,634.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.