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Finding the Fourth Proportional to 1,200.49, 1,792.06 and 1,110.31

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Solution

The fourth proportional to 1,200.49, 1,792.06 and 1,110.31 is: 1,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.49 : 1,792.06 = 1,110.31 : x
  2. Step 2: Convert to fraction form
    1,200.49/1,792.06 = 1,110.31/x
  3. Step 3: Cross multiply
    1,200.49x = 1,792.06 × 1,110.31
  4. Step 4: Simplify right side
    1,200.49x = 1,989,734.88
  5. Step 5: Solve for x
    x = 1,989,734.88/1,200.49
  6. Step 6: Final answer
    x = 1,657.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.