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Finding the Fourth Proportional to 1,734.80, 2,602.94 and 638.90

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Solution

The fourth proportional to 1,734.80, 2,602.94 and 638.90 is: 958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.80 : 2,602.94 = 638.90 : x
  2. Step 2: Convert to fraction form
    1,734.80/2,602.94 = 638.90/x
  3. Step 3: Cross multiply
    1,734.80x = 2,602.94 × 638.90
  4. Step 4: Simplify right side
    1,734.80x = 1,663,004.60
  5. Step 5: Solve for x
    x = 1,663,004.60/1,734.80
  6. Step 6: Final answer
    x = 958.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.