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Finding the Fourth Proportional to 1,734.06, 2,601.03 and 638.40

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Solution

The fourth proportional to 1,734.06, 2,601.03 and 638.40 is: 957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.06 : 2,601.03 = 638.40 : x
  2. Step 2: Convert to fraction form
    1,734.06/2,601.03 = 638.40/x
  3. Step 3: Cross multiply
    1,734.06x = 2,601.03 × 638.40
  4. Step 4: Simplify right side
    1,734.06x = 1,660,497.55
  5. Step 5: Solve for x
    x = 1,660,497.55/1,734.06
  6. Step 6: Final answer
    x = 957.58

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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.