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Finding the Fourth Proportional to 1,257.09, 1,734.46 and 733.11

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Solution

The fourth proportional to 1,257.09, 1,734.46 and 733.11 is: 1,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.09 : 1,734.46 = 733.11 : x
  2. Step 2: Convert to fraction form
    1,257.09/1,734.46 = 733.11/x
  3. Step 3: Cross multiply
    1,257.09x = 1,734.46 × 733.11
  4. Step 4: Simplify right side
    1,257.09x = 1,271,549.97
  5. Step 5: Solve for x
    x = 1,271,549.97/1,257.09
  6. Step 6: Final answer
    x = 1,011.50

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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.