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Finding the Fourth Proportional to 1,734.71, 2,602.44 and 639.09

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Solution

The fourth proportional to 1,734.71, 2,602.44 and 639.09 is: 958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.71 : 2,602.44 = 639.09 : x
  2. Step 2: Convert to fraction form
    1,734.71/2,602.44 = 639.09/x
  3. Step 3: Cross multiply
    1,734.71x = 2,602.44 × 639.09
  4. Step 4: Simplify right side
    1,734.71x = 1,663,193.38
  5. Step 5: Solve for x
    x = 1,663,193.38/1,734.71
  6. Step 6: Final answer
    x = 958.78

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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.