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Finding the Fourth Proportional to 1,257.12, 1,734.92 and 733.04

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Solution

The fourth proportional to 1,257.12, 1,734.92 and 733.04 is: 1,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.12 : 1,734.92 = 733.04 : x
  2. Step 2: Convert to fraction form
    1,257.12/1,734.92 = 733.04/x
  3. Step 3: Cross multiply
    1,257.12x = 1,734.92 × 733.04
  4. Step 4: Simplify right side
    1,257.12x = 1,271,765.76
  5. Step 5: Solve for x
    x = 1,271,765.76/1,257.12
  6. Step 6: Final answer
    x = 1,011.65

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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.